Caused by: java.lang.IllegalStateException: Unable to access CDI

oi Matheus, tudo bem?

como esta o seu POM.xml, ele esta com o Weld?

Pode ser que a configuração do projeto não esteja apontando para as dependências do Maven e sim para as dependencias do servidor.

Oi Samir, to bem sim e voce ?

eu coloquei a dependencia do weld, estou usando wildfly 10

<project xmlns="http://maven.apache.org/POM/4.0.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
    xsi:schemaLocation="http://maven.apache.org/POM/4.0.0 http://maven.apache.org/xsd/maven-4.0.0.xsd">
    <modelVersion>4.0.0</modelVersion>

    <groupId>br.com.webapi</groupId>
    <artifactId>calculadora</artifactId>
    <version>0.0.1-SNAPSHOT</version>
    <packaging>war</packaging>

    <name>calculadora</name>
    <url>http://maven.apache.org</url>

    <properties>
        <project.build.sourceEncoding>UTF-8</project.build.sourceEncoding>
    </properties>

    <dependencies>
        <dependency>
            <groupId>javax</groupId>
            <artifactId>javaee-api</artifactId>
            <version>7.0</version>
            <scope>provided</scope>
        </dependency>


        <dependency>
            <groupId>junit</groupId>
            <artifactId>junit</artifactId>
            <version>3.8.1</version>
            <scope>test</scope>
        </dependency>
        <!-- https://mvnrepository.com/artifact/org.glassfish.jersey.core/jersey-client -->
        <dependency>
            <groupId>org.glassfish.jersey.core</groupId>
            <artifactId>jersey-client</artifactId>
            <version>2.25.1</version>
        </dependency>
        <!-- https://mvnrepository.com/artifact/org.glassfish.jersey.core/jersey-client -->
        <dependency>
            <groupId>org.glassfish.jersey.core</groupId>
            <artifactId>jersey-client</artifactId>
            <version>2.25.1</version>
        </dependency>
        <!-- https://mvnrepository.com/artifact/org.glassfish.jersey.containers/jersey-container-grizzly2-http -->
        <dependency>
            <groupId>org.glassfish.jersey.containers</groupId>
            <artifactId>jersey-container-grizzly2-http</artifactId>
            <version>2.25.1</version>
        </dependency>
        <!-- https://mvnrepository.com/artifact/org.glassfish.jersey.containers/jersey-container-servlet -->
        <dependency>
            <groupId>org.glassfish.jersey.containers</groupId>
            <artifactId>jersey-container-servlet</artifactId>
            <version>2.25.1</version>
        </dependency>
        <!-- https://mvnrepository.com/artifact/org.glassfish.jersey.core/jersey-server -->
        <dependency>
            <groupId>org.glassfish.jersey.core</groupId>
            <artifactId>jersey-server</artifactId>
            <version>2.25.1</version>
        </dependency>
        <!-- https://mvnrepository.com/artifact/org.glassfish.grizzly/grizzly-framework -->
        <dependency>
            <groupId>org.glassfish.grizzly</groupId>
            <artifactId>grizzly-framework</artifactId>
            <version>2.3.3</version>
        </dependency>
        <!-- https://mvnrepository.com/artifact/org.glassfish.grizzly/grizzly-http -->
        <dependency>
            <groupId>org.glassfish.grizzly</groupId>
            <artifactId>grizzly-http</artifactId>
            <version>2.3.3</version>
        </dependency>
        <!-- https://mvnrepository.com/artifact/org.glassfish.grizzly/grizzly-http-server -->
        <dependency>
            <groupId>org.glassfish.grizzly</groupId>
            <artifactId>grizzly-http-server</artifactId>
            <version>2.3.3</version>
        </dependency>
        <!-- https://mvnrepository.com/artifact/org.glassfish.grizzly/grizzly-rcm -->
        <dependency>
            <groupId>org.glassfish.grizzly</groupId>
            <artifactId>grizzly-rcm</artifactId>
            <version>2.3.3</version>
        </dependency>
        <!-- https://mvnrepository.com/artifact/com.google.code.gson/gson -->
        <dependency>
            <groupId>com.google.code.gson</groupId>
            <artifactId>gson</artifactId>
            <version>2.2.4</version>
        </dependency>
        <!-- https://mvnrepository.com/artifact/javax.annotation/javax.annotation-api -->
        <dependency>
            <groupId>javax.annotation</groupId>
            <artifactId>javax.annotation-api</artifactId>
            <version>1.2</version>
        </dependency>
        <!-- https://mvnrepository.com/artifact/org.glassfish.hk2.external/javax.inject -->
        <dependency>
            <groupId>org.glassfish.hk2.external</groupId>
            <artifactId>javax.inject</artifactId>
            <version>2.2.0-b21</version>
        </dependency>
        <!-- https://mvnrepository.com/artifact/javax.ws.rs/javax.ws.rs-api -->
        <dependency>
            <groupId>javax.ws.rs</groupId>
            <artifactId>javax.ws.rs-api</artifactId>
            <version>2.0</version>
        </dependency>
        <dependency>
            <groupId>org.hibernate</groupId>
            <artifactId>hibernate-entitymanager</artifactId>
            <version>4.3.0.Final</version>
        </dependency>
        <dependency>
            <groupId>org.hibernate</groupId>
            <artifactId>hibernate-core</artifactId>
            <version>5.1.0.Final</version>
            <scope>provided</scope>
        </dependency>

        <dependency>
            <groupId>org.hibernate</groupId>
            <artifactId>hibernate-validator</artifactId>
            <version>5.2.4.Final</version>
            <scope>provided</scope>
        </dependency>

        <!-- for JPA, use hibernate-entitymanager instead of hibernate-core -->
        <dependency>
            <groupId>org.hibernate</groupId>
            <artifactId>hibernate-entitymanager</artifactId>
            <version>5.1.0.Final</version>
            <scope>provided</scope>
        </dependency>

        <dependency>
            <groupId>org.hibernate</groupId>
            <artifactId>hibernate-ehcache</artifactId>
            <version>5.1.0.Final</version>
            <scope>provided</scope>
        </dependency>

        <!-- DEPENDENCIA MYSQL -->
        <dependency>
            <groupId>mysql</groupId>
            <artifactId>mysql-connector-java</artifactId>
            <version>5.1.37</version>
        </dependency>
        <!-- https://mvnrepository.com/artifact/javax.ejb/javax.ejb-api -->
        <dependency>
            <groupId>javax.ejb</groupId>
            <artifactId>javax.ejb-api</artifactId>
            <version>3.2</version>
        </dependency>
        <dependency>
            <groupId>org.jboss.weld.servlet</groupId>
            <artifactId>weld-servlet</artifactId>
            <version>2.2.6.Final</version>
            <scope>runtime</scope>
        </dependency>



    </dependencies>
</project>

Como o wildfly já tem as implementações do JAVA EE nele não seria necessário colocar a dependência do WELD, você pode tirar ela ou tentar trocar essa dependecia do weld por essa:

<dependency>
            <groupId>javax.enterprise</groupId>
            <artifactId>cdi-api</artifactId>
            <version>1.1</version>
        <scope>provided</scope>
        </dependency>

Isso vai dizer que vc quer usar o CDI com a implementação provida pelo servidor.

Lembrando que precisa do beans.xml para o CDI funcionar:

<beans
    xmlns="http://xmlns.jcp.org/xml/ns/javaee"
    xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
        xsi:schemaLocation="http://xmlns.jcp.org/xml/ns/javaee
        http://xmlns.jcp.org/xml/ns/javaee/beans_1_1.xsd"
    bean-discovery-mode="all">
</beans>