Hello...

I have got some HW problems based on limits and continuity...please help in solving those problems..

Q1) Find the limit of the following using L'Hospital rule....

a) lim x-> 0+ [sin(x) - x] / [e^x - 1]

b) lim x-> pi/2 [pi/2 - x] . tan(x)

Q2) Prove using the Mean value theorem: (x-1)/x < ln(x) < x-1, when x>1

Thanks!