Find the limit. lim _(xarrow 0)(tan(9x))/(xcos(5x))=

Name: find the limit. lim _(xarrow 0)(tan(9x))/(xcos(5x))=
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Question

Answer 1

To find the limit of the given expression, we can use the properties of limits and trigonometric functions. First, let's rewrite the expression:

We can rewrite

as

and

remains the same. So, the expression becomes:

Now, we can separate the limit into three parts:

We know that

and

.Therefore, the limit of the given expression is:

So, the limit of the given expression is 9.

Soru