Using lim _(Theta arrow 0)(sinTheta )/(Theta )=1 find the limit. lim _(xarrow 0)(9sin(sin9x))/(sin9x) Select the correct answer below and, if necessary,fill in the answer box to complete your choice. A. lim _(xarrow 0)(9sin(sin9x))/(sin9x)= (Simplify your answer.) B. The limit does not exist

Question

Answer 1

To find the limit

, we can use the given limit

.Let's rewrite the expression as:

Now, let

. As

approaches 0,

also approaches 0. So, we can substitute

for

in the limit:

Since

approaches 0 as

approaches 0, we can use the given limit

:

The second limit is equal to 1 as

approaches 0:

Now, we need to find the limit of

. As

approaches 0,

also approaches 0. So, we can use the given limit

again:

Therefore, the limit is:

So, the correct answer is:A.

Soru