Question

lim 5(1-cosx)
x->0 --------
x

how do I solve this for delta?

Answer 1

i will give someone else a turn for this one, but your limit should be 0

Answer 2

hmm actually now that i think about it, it is not so clear how to get a bound on
\[\frac{1-\cos(x)}{x}\]

Answer 3

Very tricky for a beginner like me :(

Answer 4

i don't have a calc book with me, but if you do look where they prove that the limit is in fact 0, and see if you can get an idea from that one

Answer 5

ive got sinx/x = 1

Answer 6

L,Hopitals rule

Answer 7

i think this is asking for an epsilon delta proof right?

Answer 8

take the derivative of top and bottom and then apply the limits

Answer 9

ok

Answer 10

if it is just asking for the limit then it can be done without much difficulty, but the last 3 problems posted were asking for the epsilon delta proof, and i really don't know how to do that in this case

Answer 11

It is asking for the epsilon delta proof....and I am also unsure of how to do this :/

Answer 12

maybe multiply by 1+cosx?