Let L=lim (x to 0) (a-sqrt(a^2-x^2)-(x^2...

Let `L=lim_ (x to 0) (a-sqrt(a^2-x^2)-(x^2)/4)/(x^4),`a > 0. If L is finite ,then `(a). a=2`
(b) `a=1` `L=1/(64)`
(d) `L=1/(32)`

A

`a=2`

B

`a=1`

C

`L=1/64`

D

`L=1/32`

Verified by Experts

The correct Answer is:

C

|

lim_(xto1)((sqrt(x)-1)(2x-3))/(2x^(2)+x-3) =……

A

1

B

`(1)/(10)`

C

`-(1)/(10)`

D

Does not exists

Explore conceptually related problems

The value of lim_(xtooo)(sqrt(a^(2)x^(2)+ax+1)-sqrt(a^(2)x^(2)+1)),(agt0) is

Let p=lim_(x->0^+)(1+tan^2 sqrt(x))^(1/(2x)) then log p is equal to

If lim_(xtooo)((x^(2)+x+1)/(x+1)-ax-b)=4 , then

Let L=lim_(x->oo)(xlogx+2x*logsin(1/(sqrt(x)))), then value of (-2/L) is .....

If L=lim_(xto(pi^(+))/2)(costan^(-1)(tanx))/(x-pi//2) then cos(2piL) is

If f(x)=lim_(t to 0)[(2x)/(pi).tan^(-1)(x/(t^(2)))] ,then f(1) is …….

If lim_(x->0)(1+a x+b x^2)^(2/ x)=e^3 ,the value of a and b are