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lim(xrarr0) (e^(tanx)-e^x)/(tanx-x)=...

`lim_(xrarr0) (e^(tanx)-e^x)/(tanx-x)=`

A

1

B

e

C

`e-1`

D

0

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OBJECTIVE RD SHARMA ENGLISH-LIMITS-Chapter Test
  1. Evaluate: ("lim")(xvecoo)(1+1/(a+b x))^(c+dx),w h e r ea , b , c ,a n ...

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  2. If f'(2)=2, f''(2) =1, then lim(xrarr2)(2x^2-4f'(x))/(x-2), is

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  3. lim(xrarr0) (e^(tanx)-e^x)/(tanx-x)=

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  4. The value of lim(xrarr2^-) {x+(x-[x])^2}, is

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  5. lim(xto0) ((e^x+e^-x-2)/(x^2))^(1//x^2) is equal to

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  6. The value of lim(x->oo)(pi/2-tan^(- 1)x)^(1/x^2), is

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  7. The value of lim(x->a) (sinx/sina)^(1/(x-a))=

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  8. Evaluate the following limit: (lim)(x->oo)((x^2+2x+3)/(2x^2+x+5))^((3x...

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  9. Evaluate: ("lim")(xvecoo)((a1^( 1/x)+a2^ (1/x)+ --+a n^(1/x))/n)^(n x)

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  10. The value of lim(xrarr0) ((sinx)/(x))^((sinx)/(x-sinx)), is

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  11. lim(x->1)[(x^3+2x^2+x+1)/(x^2+2x+3)]^((1-cos(x-1))/(x-1)^2)

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  12. The value of lim(xrarr0) (sinx)/(xqrt(x^2)), is

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  13. Let f:R to R be a differentiable function such that f(2)=2. Then, the ...

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  14. Let f''(x) be continuous at x = 0 and f"(0) = 4 then value of lim(x->0...

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  15. Let f : R to R be a differentiable function and f(1) = 4. Then, the va...

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  16. Find the values of aa n db in order that ("lim")(xvec0)(x(1+acosx)-bsi...

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  17. If lim(x->a)(f(x)/(g(x))) exists, then

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  18. Let f (2) = 4 f(2) = 4 Then Lt(x to 2) (x f(2) -2 f(x))/(x -2) is

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  19. lim(x->0) 1/x [inty ^a)e^(sin^2t) dt-int(x+y) ^a)e^(sin^2t)dt] is equ...

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  20. lim(xrarr oo) (int(0) ^(2x)xe^(x^(2))dx)/(e^(4x^2))

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