Asked by flame
how is the limit of x^2/(1-cos^2(x)) as x goes to 0 is 1. I know how to show this using l'hopital rule. But can you show this using the rule that limit of (1-cosx)/x=1 as x goes to 0 and limit of sinx/x=1 as x goes to 0
Answers
Answered by
bobpursley
1 -cos^2 x=sin^2x
lim (x/sinx)(x/sinx)=lim x/sinx lim x/sinx=1
remember if lim a/b = 1, then lim b/a has to equal 1.
lim (x/sinx)(x/sinx)=lim x/sinx lim x/sinx=1
remember if lim a/b = 1, then lim b/a has to equal 1.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.