Hi! I need some help in the following problems.
1. What is the limit if n tends to infinity:
[(n+2) choose 2]/(n choose 2)]^n
2. Derivation
y=(4^x-x^4)/log(7)x; that is the seven-based log of x
3. Derivation
y=ln[e^x+e^(-x)]
4. Limit if x tends to zero
1/[e^(2x)-1]-1/2x
Thanks a lot.