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If f(4)= 4, f'(4) =1 then lim(x to 4) 2(...

If f(4)= 4, f'(4) =1 then `lim_(x to 4) 2((2-sqrtf(x))/ (2 - sqrtx))` is equal to

A

0

B

2

C

`-1`

D

2

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The correct Answer is:
B
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AAKASH INSTITUTE-CONTINUITY AND DIFFERENTIABILITY-Section -B
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  4. underset(x to 0)(lim) (2^(x) - 1)/(sqrt(1 + x) - 1) =

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  7. lim(x->oo)(sqrt(x+sqrt(x))-sqrt(x))equals

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  8. lim(x->0)(1/(x^2)-1/(tan^2x))

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  9. lim(x -> oo) ((x-3)/(x+2))^x is equal to

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  10. lim(x to 0){(1+tanx)/(1+sinx)}^("cosec x") is equal to

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  11. lim(x->0)((4^x+9^x)/2)^(1/x)

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  12. If underset (xrarr0)"lim"(cos+asinbx)^(x/y)=e^(2) then the values of a...

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  16. If f(x)= {:{((x^(2) + 3x+p)/(2(x^(2)-1)) , xne 1),(5/4, x = 1):} is co...

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  17. In order that the function f(x)=(x+1)^(cotx) is continuous at x = 0, f...

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