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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
- 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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- If lim(xtoa)(a^(x)-x^(a))/(x^(x)-a^(a))=-, then :
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- lim(x rarr pi/6) ((3sinx - sqrt3 cos x)/(6x-pi)) =
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- lim(n rarr oo) 1/n^(3) sum(k=1)^(n) k^(2)x =
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- If f : R rarr R is defined by f(x) = {((x+2)/(x^(2)+3x+2), x in R-{-1,...
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