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The value of underset(xto1)lim(2-x)^(tan...

The value of `underset(xto1)lim(2-x)^(tan((pix)/(2)))` is

A

`e^(-2//pi)`

B

`e^(1//pi)`

C

`e^(2//pi)`

D

`e^(-1//pi)`

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-LIMITS-Exercise
  1. The value of lim(xrarr 0) (1-cos(1-cos x))/(x^4) is equal to

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  2. The value of lim (xto0) (cos (sin x )- cos x)/(x ^(4)) is equal to :

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  3. The value of underset(xto1)lim(2-x)^(tan((pix)/(2))) is

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  4. The value of lim(xrarroo) ((3x-4)/(3x+2))^(((x+1)/3)) is

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  5. lim(x->oo) ((x^2-2x+1)/(x^2-4x+2))^x is equal to

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  6. The value of lim(xrarr0) ((1+tanx)/(1+sin x))^(cosec x) , is

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  7. lim(x rarr 0)((5x^2+1)/(3x^2+1))^(1//x^2)

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  8. Evaluate: ("lim")(n→oo)x[tan^(-1)((x+1)/(x+2))-tan^(-1)(x/(x+2))]

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  9. The value of lim(x->0) ( int0 ^ (x^2) cost^2 dt)/( xsin x) is

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  10. ("lim")(xvec0)(1n(1+2h)-21 n(1+h))/(h^2)=

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  11. The value of lim(xrarr1)(log5 5x)^(logx5) , is

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  12. The value of lim(xrarr1)(log2 2x)^(logx5), is

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  13. lim(x->0) (sinx^n)/((sinx)^m),(mltn), is equal to (a) 1 (b) 0 (c) n...

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  14. If 0lt xlty, then lim(xrarroo) (y^n+x^n)^(1//n) is equal to

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  15. Evaluate the limit: ("lim")(xvecoo)[sqrt(a^2x^2+a x+1)-sqrt(a^2x^2+1)]

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  16. lim(xrarr1)(1-x)tan((pix)/2) is equal to

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  17. The value of lim(xrarr0) (x(5^x-1))/(1-cos x), is

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  18. Evaluate underset(xto2)limsin(e^(x-2)-1)/(log(x-1))

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  19. The value of lim(xrarroo) {(x^2sin((1)/(x))-x)/(1-|x|)}, is

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

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