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MODERN PUBLICATION-LIMIT AND CONTINUITY -MULTIPLE CHOICE QUESTIONS(LEVEL - II )
- lim(n rarr oo) ((2)/(3) + ((2)/(3))^(2) + ((2)/(3))^(3) + ……. + ((2)/(...
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- lim(x rarr oo) (e^(x^(2)) - cos x)/(x^(2)) is equal to :
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- lim(x rarr 0) (log (1 + x + x^(2))+ log (1 - x - x^(2)))/(sec x - cos ...
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- The value of lim(n rarr oo) cos ((x)/(2)) cos ((x)/(4))cos ((x)/(8))…....
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- lim(x rarr 0) (log(sec x//2) cos x)/(log(sec x)cos x//2) is equal to :
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- The value of lim(x rarr 1) ((x^(3) + 2x^(2) + x + 1)/(x^(2) + 2x + 3))...
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- If f(x) = (2)/(x-3), g(x) = (x-3)/(x+4) and h (x) = (-2(2x + 1))/(x^(2...
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- lim(x rarr oo) ( sqrt(x + sqrt(x + sqrt(x))) - sqrt(x)) is equal to :
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- The value of lim(x rarr oo) {(x^(2)sin ((1)/(x))-x)/(1-|x|)} is :
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- lim(x rarr 0) [int(y)^(a) e^(sin^(2)t) dt - int(x + y)^(a) e^(sin^(2)t...
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- If sum(r = 1)^(k) cos^(-1) beta r = (kpi)/(2), "for any k" ge 1 and A ...
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- The value of lim(x rarr 0) (int(0)^(x^(2))cos t^(2)dt)/(x sin x) is :
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- lim(x rarr oo) (int(0)^(2x) xe^(2)dx)/(e^(4x^(2))) equals :
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- lim(x rarr 2) (sqrt(x-2) + sqrt(x) - sqrt(2))/(sqrt(x^(2) - 4)) is equ...
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- lim(x rarr 0) (x sqrt(y^(2) - (y - x)^(2)))/((sqrt(8xy - 4x^(2)) + sqr...
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- If S(n) = (1)/(1.4)+(1)/(4.7) + (1)/(7.10) +……. to n terms, then lim(n...
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- Let the rth term, t(r), of a series is given by : t(r) = (r)/(1+r^(2) ...
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- Let f(x), g(x) be differentiable functions and f(1) = g(1) = 2, then :...
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- Let {x} denote the fractional part of xlim Then lim(X rarr 0) ({x})/(t...
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- lim(n rarr oo) [(1)/(1-n^(4))+(8)/(1-n^(4))+…...+(n^(3))/(1-n^(4))] eq...
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