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underset(xrarr(pi)/(4))(lim)(int(2)^(sec...

`underset(xrarr(pi)/(4))(lim)(int_(2)^(sec^(2)x)f(t)dt)/(x^(2-)(pi^(2))/(16))` is equal to

A

`(8)/(pi)f(2)`

B

`(2)/(pi)f(2)`

C

`(2)/(pi)f((1)/(2))`

D

`4f(2)`

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-LIMITS-Exercise
  1. lim(xrarr0) (e^(x^(2))-cosx)/(x^2) is equal to

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  2. Write the value of (lim)(x->-oo)(3x+sqrt(9x^2-x))

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  3. underset(xrarr(pi)/(4))(lim)(int(2)^(sec^(2)x)f(t)dt)/(x^(2-)(pi^(2))/...

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  4. The value of underset(xto2)lim(2^(x)+2^(3-x)-6)/(sqrt(2^(-x))-2^(1-x))...

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  5. value of lim(x->0)(1-cos^3x)/(xsinx*cosx) is

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  6. lim(xrarr1)(sqrt1-cos2(x-1))/(x-1), is

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  7. Evaluate the following limits (i) lim(x to (pi)/(2)) tan^(2) x [sqr...

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  8. The value of lim(xrarr 0) (1-cos(1-cos x))/(x^4) is equal to

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

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

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

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

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

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

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

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

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

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

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

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

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