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The value of `("lim")_(xvec2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)i s` (a) `1/(8sqrt(3))` (b) `1/(4sqrt(3))` (c) 0 (d) none of these

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. lim(x->oo)((2x+1)^(40)(4x-1)^5)/((2x+3)^(45)) is equal to (a)16 (b)...

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  2. Evaluate: ("lim")(xveca)("log"(x-a))/(log(e^x-e^a))

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  3. The value of ("lim")(xvec2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)i s (a) 1...

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  4. Evaluate: ("lim")(xvec0)(e^x+e^(-x)-2)/(x^2)

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  5. lim(x->oo)n^2(x^(1/n)-x^(1/((n+1)))),x >0 , is equal to (a)0 (b)...

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  6. Evaluate: ("lim")(x-oo)x^(1/x)

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  7. The value of ("lim")(x->pi)(1+cos^3x)/(sin^2x)i s 1/3 (b) 2/3 (c) -...

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  8. Evaluate: underset(x rarr 0)("lim") ((729)^x-(243)^x-(81)^x+9^x+3^x-1...

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

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

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

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

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

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

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  16. Evaluate: ("lim")(n→oo)(n^p sin^2(n !))/(n+1)

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

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

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

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

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