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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
- lim(n->oo)n^2(x^(1/n)-x^(1/((n+1)))),x >0 , is equal to (a)0 (b) e^x ...
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- Evaluate: ("lim")(xtooo)x^(1/x)
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- The value of lim(x->pi)(1+cos^3x)/(sin^2x) is (a)1/3 (b) 2/3 ...
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- Evaluate: underset(x rarr 0)("lim") ((729)^x-(243)^x-(81)^x+9^x+3^x-1...
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- 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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- Evaluate underset(ntooo)lim(-1)^(n-1)sin(pisqrt(n^(2)+0.5n+1)),"where ...
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- ("lim")(ntooo)1/(1+nsin^2n x) is equal to (a)-1 (b) 0 (c) 1 (d) ...
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- Let the sequence ltb(n)gt of real numbers satisfy the recurrence relat...
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- Which of the following true ({.} denotes the fractional part of the ...
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- Evaluate: lim(n->oo)(4^n+5^n)^(1/n)
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- If ("lim")(x->1)(2-x+a[x-1]+b[1+x]) exists, then a and b can take the ...
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- Evaluate lim(ntooo) (n^(p)sin^(2)(n!))/(n+1),"where "0ltplt1.
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- If lim(nrarrinfty)(an-frac(1+n^2)(1+n))=b a finite number then
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- Evaluate underset(xtooo)limx^(3){sqrt(x^(2)+sqrt(1+x^(4)))-xsqrt(2)}.
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- prove that, If m , n in N ,("lim")(xto0)(sinx^n)/((sinx)^m)i s (a) 1,...
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- For any two complex numbers z1,z2 and any real numbers <math xmlns="ht...
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- lim(n->oo)(-3n+(-1)^n)/(4n-(-1)^n) is equal to a. -3/4 b. 0 if n is...
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- Evaluate underset(xtooo)lim(sqrt(25x^(2)-3x)+5x).
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- Given a real-valued function f such that f(x)={(tan^2{x})/((x^2-[x]^2)...
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- Evaluate underset(xtooo)lim((x^(2)+x-1)/(3x^(2)+2x+4))^((3x^(2)+x)/(x-...
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