- #1
abhineetK
- 18
- 0
Homework Statement
What is the value of
lim {(1/x)sinx+(sinx)1/x} ,x>0 ?
x->0
Homework Equations
??
The Attempt at a Solution
lim {(1/x)sinx+(sinx)1/x}
x->0
=lim (1/x)sinx+lim (sinx)1/x
..x->0...x->0
Let A=lim (1/x)sinx
...x->0
and B=lim (sinx)1/x
...x->0
logA=lim (sinx)log(1/x)=0
...x->0
=>A=e0=1
logB=lim (1/x)log(sinx)=infinity
...x->0
=>B=infinity
The problem is that the answer is 0.
Last edited: