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lim(xto0)(a^x-1)/(sqrt(a+x)-sqrta) is...

`lim_(xto0)(a^x-1)/(sqrt(a+x)-sqrta)` is

A

`2sqrtaloga`

B

`sqrta` log a

C

log a

D

none of these

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-LIMITS AND CONTINUITY-Solved Examples Level 1 (Single Correct Answer)
  1. which of the following limits equal to 1/2 : (A) lim(n->oo)(1/1.3+...

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  2. If lim(x to 0) (1+ax)^(b//x)=e^4 , where a and b are natural numbers t...

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  3. lim(xto0)(a^x-1)/(sqrt(a+x)-sqrta) is

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  4. f(x) = 3x^10 – 7x^8+ 5x^6 -21x^3 + 3x^2 –7, then is the value of lim(...

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  5. lim(x rarr0)(e^(x^(2))-cos x)/(x^(2))" is equal to " (a) 3/2 (b) 1/...

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  6. Let f(x)=ltxgt^(**), where lt xgt^(**) is the distance from x to the i...

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  7. lim(x to 0) ((1-cos 2x)(3+cosx))/(x tan 4x) is equal to

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  8. lim(xto0)(sin(picos^(2)x))/(x^(2)) is equal to

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  9. Let f(x)=sgn (sgn (sgn x)). Then lim(x to0) f(x) is

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  10. lim(x->a-) {(|x|^3)/a-[x/a]^3} ,(a < 0), where [x] denotes the greates...

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

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  12. lim(n->oo) (6^n+5^n)^(1/n) is equal to -

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  13. If f(x)=((x^2+5x+3)/(x^2+x+2))^x then lim(xtooo)f(x) is equal to

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  14. underset(xtooo)lim[sqrt(x+sqrt(x+sqrt(x)))-sqrt(x)] is equal to

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  15. If (lim)(x->-a)(x^9+a^9)/(x+a)9,\ find the real value of adot

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  16. Let f(x)=[x]+[-x], where [x] denotes the greastest integer less than o...

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  17. Let f(x) be a continuous function defined for 1 <= x <= 3. If f(x) tak...

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  18. Let f(x)= {{:(|x| cos (1//x)+9x^2, xne 0),(k, x=0):} then f is cont...

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  19. If f(x)=tan (pi//4 -x)//cot2x for x ne pi//4. The value of f(pi//4) so...

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  20. Let a function f be defined by f(x)="x-|x|"/x for x ne 0 and f(0)=2. T...

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