Question

Find the limit as x approaches 0 for θ^2/(1-cosθ)

Answer 1

hi friend, respect to theta, right? because it no reason to take limit of a function of theta when x approaches to 0

Answer 2

if i am right, you have l'hopital rule for this (since its form is 0/0 ). take derivative both numerator and denominator and then take limit of that result

Answer 3

ok so that would be 2theta/costheta ......which would be 0/1

Answer 4

yes

Answer 5

cause the answer is 2....

Answer 6

hey, the denominator is (1-cos(theta)' = sin(theta) . and then you still have 0/0 take derivative again

Answer 7

oh got it thanks!

Answer 8

thanks god

Answer 9

wait....actually haha so i got 2theta/costheta ....i just assumed that cancels to 2...

Answer 10

the second derivative of 2 theta =2, that time the denominator =cos theta, when theta=0 , cos theta =1

Answer 11

your right my mistake!

Answer 12

cos(0)=1

Answer 13

ok. have fun