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("lim")(ntooo)1/(1+nsin^2n x) is equal ...

`("lim")_(ntooo)1/(1+nsin^2n x)` is equal to (a)`-1` (b) 0 (c) 1 (d) `oo`

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  5. Which of the following true ({.} denotes the fractional part of the ...

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  6. Evaluate: lim(n->oo)(4^n+5^n)^(1/n)

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  7. If ("lim")(x->1)(2-x+a[x-1]+b[1+x]) exists, then a and b can take the ...

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  8. Evaluate lim(ntooo) (n^(p)sin^(2)(n!))/(n+1),"where "0ltplt1.

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  9. If lim(nrarrinfty)(an-frac(1+n^2)(1+n))=b a finite number then

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  10. Evaluate underset(xtooo)limx^(3){sqrt(x^(2)+sqrt(1+x^(4)))-xsqrt(2)}.

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  11. prove that, If m , n in N ,("lim")(xto0)(sinx^n)/((sinx)^m)i s (a) 1,...

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  12. For any two complex numbers z1,z2 and any real numbers <math xmlns="ht...

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  13. lim(n->oo)(-3n+(-1)^n)/(4n-(-1)^n) is equal to a. -3/4 b. 0 if n is...

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  14. Evaluate underset(xtooo)lim(sqrt(25x^(2)-3x)+5x).

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  15. Given a real-valued function f such that f(x)={(tan^2{x})/((x^2-[x]^2)...

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  16. Evaluate underset(xtooo)lim((x^(2)+x-1)/(3x^(2)+2x+4))^((3x^(2)+x)/(x-...

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  17. L=lim(x to a)(|2sinx-1|)/(2sinx-1)dotT h e n (a) limit does not exis...

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  18. If [x] denotes the greatest integer less than or equal to x, then eval...

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  19. f(x)=("lim")(n-&gt;oo)x/(x^(2n)+1)dotT h e n , A. f(1^+)+f(1^(-1))...

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  20. Evaluate the limit: lim(x->1)((2x-3)(sqrt(x)-1))/(2x^2)

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