Limit of cosine using epsilon-delta definition


Question:

Limit of cosine using epsilon/delta definition

Am having difficulty using the epsilon/delta definition....even difficulty when not using it. There's a problem which reads as follows: find the limit as x approaches 0 of (cosx-1)/x^2. The main reason as to why I am having difficulty without using the epsilon/delta definition is because I simply am confused what to do when x goes to zero, yet it is in the denominator. I don't even know where to begin using the epsilon/delta definition! Please help! Another problem that is similar is: limit as h approaches zero of ((e^h)-1)/h and limit as x approaches zero of ((sin^2)x)/x.

Solution Preview :

Prepared by a verified Expert
Mathematics: Limit of cosine using epsilon-delta definition
Reference No:- TGS01939628

Now Priced at $20 (50% Discount)

Recommended (96%)

Rated (4.8/5)