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Given g(x)=(1/x), h(x)=x^(2)+2x+(lamda+1...

Given `g(x)=(1/x), h(x)=x^(2)+2x+(lamda+1)` and `u(x)=1/x+cos(1/(x^(2)))`
Let `f(x)=lim_(ntooo)(x^(2n+1)g(x)+h(x))/(x^(2n)+3x.u(x))`
If `lim_(xto0)f(x)=2`, then the value of `lamda` is

A

10

B

5

C

2

D

Does not exist

Text Solution

Verified by Experts

The correct Answer is:
B
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