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lim(xto0)(sin(picos^(2)(tan(sinx))))/(x^...

`lim_(xto0)(sin(picos^(2)(tan(sinx))))/(x^(2))` is equal to

A

`pi`

B

`(pi)/4`

C

`(pi)/2`

D

None of these

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The correct Answer is:
A
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ARIHANT MATHS-LIMITS-Exercise (Single Option Correct Type Questions)
  1. lim(xto0)(sin(picos^(2)(tan(sinx))))/(x^(2)) is equal to

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  2. lim(t to0)(1-(1+t)^(t))/(In (1+t)-t) is equal to

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  3. If I(1)=lim(xto 0)(tan^(-1)pi x- tan^(-1)x)cosx and I(2)=lim(xto0)(tan...

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  4. If f(x)=0 is a quadratic equation such that f(-pi)=f(pi)=0 and f(pi/2)...

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  5. lim (xto0) (""^(3)sqrt(1+sin ^(2)x )- ""^(4) sqrt(1-2 tan x))/(sin x+ ...

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  6. For n in N, let f(n) (x) = tan ""(x)/(2) (1+ sec x ) (1+ sec 2x) (1+ s...

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  7. Let f(x) be a real valued function defined for all xge1, satistying f(...

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  8. The quadratic equation whose roots are the minimum value of sin^(2)the...

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  9. If x1=sqrt(3) and x(n+1)=(xn)/(1+sqrt(1+x n^2)),AA n in N then lim(n...

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  10. lim(xtoa^(-))(sqrt(x-b)-sqrt(a-b))/((x^(2)-a^(2))),(agtb) is

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  11. lim(ntooo)(sin^(n)1+cos^(n)1)^(n) is equal to

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  12. The value of lim(xto0)2/(x^(3))(sin^(-1)x-tan^(-1)x)^(2//x^(3)) equals

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  13. lim(nto oo)sum(r=1)^(n)r/(n^(2)+n+4) equals a. 0 b. 1/3 c. 1/2 d.1

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  14. Let U = {x : x ∈ N, x ≤ 9}; A = {x : x is an even number, 0 < x < 10};...

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  15. int(-1)^(2)[([x])/(1+x^(2))]dx, where [.] denotes the greatest integer...

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  16. If alpha and beta are roots of x^(2)-(sqrt(1-cos 2 theta))x+theta=0, w...

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  17. If f(x)=1/3(f(x+1)+5/(f(x+2))) and f(x)gt0,AA x epsilonR, then lim(xto...

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  18. Let f:(1,2)vecR satisfies the inequality (cos(2x-4)-33)/2ltf(x)lt(x^2|...

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  19. Let f(x) be polynomial of degree 4 with roots 1,2,3,4 and leading coef...

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  20. lim x→π/4 (4sqrt(2)-(cosx+sinx)^5)/(1−sin2x) is equal to

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