Question

answer this question​

Answer 1

Step-by-step explanation:

lim x tends to zero ....solve the equation with respect to x then put the value of x =0 in the final equation

Answer 2

✷ Question :

lim 1 - cos^2

x-0 _______

x^2

✷ Solution:

When we substitute 0 in the place of x we get 0/0 form Which is in indeterminate form.

lim. 2 sin 2x

x-0. ______.x

2

Now when we substitute 0 over here, again we get 0/0 form. Let us again apply L' Hopital's rule.

lim 4cos2x

x-0 ____

2

Now substitute the limit, we get

4 cos 2 (0)

_________ = 4/2 = 2

2

Hence the answer is 2. For further information refer the attachment !!!

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☞ More information:

L' Hopital rule is mostly used to convert the indetermined form (0/0) into an simplified expression where when we substitute the limit we would get the answer.