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MODERN PUBLICATION-LIMIT AND CONTINUITY -MULTIPLE CHOICE QUESTIONS(LEVEL - II )
- 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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- lim(x rarr pi//3) (2 sin (x-pi//3))/(1-2 cos x) equals :
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- Let f(x) = {{:(x (sin 1//x + sin (1//x^(2))),,x ne 0),(0,,x = 0):} The...
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- lim(x rarr 0) (tan [e^(2)]x^(2)-tan[-e^(2)]x^(2))/(sin^(2)x) equals :
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- If lim(x rarr 0) (1+px)^(q//x) = e^(4), where p, q, in N, then :
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- Let f(x) = 3x^(10) - 7x^(8) + 5x^(6) - 21x^(3) + 3x^(2) - 7. Then lim(...
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- Let f(x) = lt x gt^("*"), where lt x gt^("*") is the distance from x t...
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- lim(x rarr 2^(+)) (([x]^(3))/(3) - [(x)/(3)]^(3)) equals :
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- If the function f(x) = [((cos x)^(1//x),x ne 0),(k,x = 0):} is continu...
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- Let f(x) = |x| "cos" (1)/(x) + 15x^(2), x ne 0, = k, x = 0, then f(x...
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- If lim(x rarr a^(+)) f(x) = l = lim(x rarr a^(-)) g(x) and lim(x rarr ...
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- The following are continuous on (0, pi) :
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- The value of b for which the function : f(x) = {{:(5x-4,"if",0lt x le ...
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- Let f(x) = [{:(5^(1//x),x lt 0),(lambda[x],x le 0","lambda in R):}, th...
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