Let \(\displaystyle{f{{\left({x}\right)}}}=\frac{{1}}{{x}^{{2}}}-\frac{{1}}{{{\sin}^{{2}}{x}}}\). Find Value of \(\displaystyle\lim_{{{x}\to{0}}}{f{{\left({x}\right)}}}\)

jisu61hbke

jisu61hbke

Answered question

2022-03-24

Let f(x)=1x21sin2x. Find Value of limx0f(x) . I've tried L'Hôpital's rule but it didn't work . Also I was unable to use trigonometric identities.

Answer & Explanation

Melody Gamble

Melody Gamble

Beginner2022-03-25Added 10 answers

limx01x21sin2x=limx0sin2(x)x2x2sin2x
=limx0(xx36+)2x2x2(xx36+)2
=limx0x43+x4+
=13

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?