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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
- The values of a and b so that lim(x rarr oo) [(x^(2)+1)/(x+1) - ax-b] ...
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- lim(x rarr 2) (sqrt(x-2) + sqrtx - sqrt2)/(sqrt(x^(2)-4)) =
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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) = 4x^(9)-3x^(8)+2x^(7)+x^(3)+x^(2)-4, then lim(h rarr 0) (f(1...
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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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- If lim(x rarr -a) (x^(9)+a^(9))/(x+a) = 9, then a =
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- lim(x rarr oo) [sqrt(x+sqrt(x + sqrt (x-)) sqrtx]=
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- lim(x rarr 1) (log(e)x)/(x-1) equals :
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- If f be a function such that f(9) = 9 and f'(9) = 3, then : lim(x ra...
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- lim(x rarr 0) ((1^(x)+2^(x)+3^(x)+……….+n^(x))/n)^(1/x) =
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- If f(x) = (sin (e^(x-2) - 1))/(log (x - 1)), then lim(x rarr 2) f(x) i...
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- lim(x rarr 0) ((tan x -x)/x). (Sin) 1/x =
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- If lim(x rarr 0) (x(1+m cos x)-n(sin x))/x^(3) =1 then
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- lim(x rarr 0) (cos x + a sin bx)^(1/x) =
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- lim(x rarr a) (x^(7/6)-a^(7/6))/(x^(3/5)-a^(3/5)), (a gt 0) =
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- lim(n rarr oo) [1/(1-n^(4))+ 8/(1-n^(4))+ ....+ n^(3)/(1-n^(4)]] =
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- lim(n rarr oo) [2/3 + (2/3)^(2) + (2/3)^(2)+.....+(2/3)^(n)] =
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- lim(n rarr oo) (1)/(n^(3)) sum(r = 1)^(n) r^(2) is :
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- lim(x rarr oo) (1)/(n^(4)) sum(r = 1)^(n) r^(3) is :
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- lim(n rarr oo) ((1)/(1.2) + (1)/(2.3) + (1)/(3.4) +…..+ (1)/(n(n+1))) ...
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