Evaluate the limit: lim (x->12) (7-(1/3)x)

Question image

Understand the Problem

The question is asking to evaluate the limit of the expression (7 - (1/3)x) as x approaches 12. This involves substituting the value x = 12 into the expression and simplifying.

Answer

3
Answer for screen readers

3

Steps to Solve

  1. Substitute $x = 12$ into the expression

Replace $x$ with $12$ in the expression $7 - \frac{1}{3}x$. $$ 7 - \frac{1}{3}(12) $$

  1. Simplify the expression

Multiply $\frac{1}{3}$ by $12$: $$ 7 - \frac{12}{3} $$

  1. Further simplification

Divide $12$ by $3$: $$ 7 - 4 $$

  1. Calculate the final result

Subtract $4$ from $7$: $$ 7 - 4 = 3 $$

3

More Information

The limit of the expression as $x$ approaches 12 is 3.

Tips

A common mistake is incorrectly simplifying the fraction or making an arithmetic error during the subtraction. Ensure you follow the order of operations correctly.

AI-generated content may contain errors. Please verify critical information

Thank you for voting!