finding limits using tables and graphs question 7, 11.1.25 points: 0 of 1 use the graph and the viewing…

finding limits using tables and graphs question 7, 11.1.25 points: 0 of 1 use the graph and the viewing rectangle shown below the graph to find the indicated limit. lim sin x x→0 select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. lim sin x = x→0 b. the limit does not exist

finding limits using tables and graphs question 7, 11.1.25 points: 0 of 1 use the graph and the viewing rectangle shown below the graph to find the indicated limit. lim sin x x→0 select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. lim sin x = x→0 b. the limit does not exist

Answer

Explanation:

Step1: Recall limit property of sine function

The function $y = \sin x$ is continuous at $x = 0$. The limit of a continuous function $f(x)$ as $x\rightarrow a$ is equal to $f(a)$.

Step2: Evaluate $\sin(0)$

We know that $\sin(0)=0$. So $\lim_{x\rightarrow0}\sin x = 0$.

Answer:

A. $\lim_{x\rightarrow0}\sin x=0$