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If lim(xrarr0)(axe^(x)-b log(1+x))/(x^(2...

If `lim_(xrarr0)(axe^(x)-b log(1+x))/(x^(2))=3`, then the value of a and b are respectively.

A

`2,2`

B

`1,2`

C

`2,1`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`lim_(xrarr0)(ax(1+x/(lfloor1)+x^2/(lfloor2)+.....)-b(x-x^2/2+x^3/(3)-....))/(x^2)=3`
As limit exists, we must have, a - b = 0 and `a/(lfloor1)+b/2=3impliesa=b=2`
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