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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
- lim(x rarr 0) (log (3 + x) - log(3 - x))/(x) = k, the value of k is :
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- The value of lim(x rarr 0) (int(0)^(x^(2))sec^(2)t dt)/(x sin x) is :
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- lim(x rarr (pi)/(2)) ((1 - tan x//2)(1-sin x))/((1+tan x//2) (pi - 2x)...
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- If lim(h rarr 0) (1 + (a)/(x) + (b)/(x^(2)))^(2x) = e^(2), then the va...
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- Let alpha and beta be the distinct roots of ax^(2) + bx + c = 0, then ...
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- Let a = lim(n rarr oo) (1+2+3+.....+n)/(n^(2))=, b = lim(n rarr oo) (...
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- If a,b, c, d are positive, then lim(x rarr oo) (1 + 1/(a+bx))^(c+dx)=
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- lim(x rarr 0) (a^(x)-b^(x))/x =
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- lim(x rarr 1) (sqrt(x-1) + sqrt(x-1))/(sqrt(x^(2)-1)) =
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- lim(x rarr 0) x/(sqrt(x+4)-2) =
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- lim(x rarr 0) [[(log(1+x))]/x]=
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- lim(x rarr oo)((a^(1/x)+b^(1/x)+c^(1/x))/3)^x, where a, b, c are real ...
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- lim(x rarr oo) ((2x+7sinx)/(4x+3cosx)) =
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- lim(x rarr 0) (log (1+x))/(3^(x) - 1)=
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- lim(theta rarr pi/2) (1-sin theta )/((pi/2 - theta) cos theta)=
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- lim(x rarr 0) (x.10^(x)-x)/(1-cos x) =
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- lim(x rarr oo) ((x+a)/(x+b))^(x+b) =
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- If f(x) = {(2x+b, x lt alpha),(x+d, x gea):} is such that lim(x rarr a...
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- The quadratic equation whose roots are l and m, where l = lim(theta ra...
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- lim(x rarr 0) (4^(x)-9^(x))/(x*(4^(x)+9^(x)) ) =
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