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("lim")(xvecoo)1/(1+nsin^2n x) i s equal...

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

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If f(x)=(3x^2+a x+a+1)/(x^2+x-2), then which of the following can be c...

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  2. Evaluate: lim(n->oo)(-1)^(n-1)sin(pisqrt(n^2+0. 5 n+1)),where n in N

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  3. ("lim")(xvecoo)1/(1+nsin^2n x) i s equal to (a)-1 (b) 0 (c) 1 (d) ...

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  4. Let the sequence {bn} real numbers satisfies the recurrence relation b...

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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")(n→oo)(n^p sin^2(n !))/(n+1)

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  9. ("lim")(n→oo)(a n-(1+n^2)/(1+n))=b , where a is a finite number, then ...

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  10. Evaluate: ("lim")(xvecoo)x^3{sqrt(x^2+sqrt(1+x^4))-xsqrt(2)}

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  11. If m , n in N ,("lim")(xvec0)(sinx^n)/((sinx)^m)i s (a) 1, if n=m (b)...

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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 : ("lim")(xvecoo)(sqrt(25 x^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: lim(x-&gt;oo)((x^2+x-1)/(3x^2+2x+4))^((3x^2+x)/(x-2))

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

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

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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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