How do you evaluate \(\displaystyle\lim_{{{x}\to{0}}}{\frac{{{2}-{\cos{{\left({3}{x}\right)}}}-{\cos{{\left({4}{x}\right)}}}}}{{{x}}}}\) ?

Bryanna Leon

Bryanna Leon

Answered question

2022-04-17

How do you evaluate
limx02cos(3x)cos(4x)x ?

Answer & Explanation

mortaraskxnl

mortaraskxnl

Beginner2022-04-18Added 12 answers

An alternative way to find the limit is the following:
limx02cos(3x)cos(4x)x=limx0(1cos(3x)x+1cos(4x)x)
=limx0(31cos(3x)3x+41cos(4x)4x)
limx0(31cos2(3x)3x11+cos(3x)+41cos2(4x)4x11+cos(4x))
=limx0(3sin(3x)3xsin(3x)1+cos(3x)+4sin(4x)4xsin(4x)1+cos(4x))

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?