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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
- lim(x rarr 0) (sin x)/(x (1 + cos x)) is equal to :
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- lim(x rarr (pi)/(2)) (1-sin x)/(cos x) is equal to :
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- lim(x rarr 0) (|x|)/(x) is equal to :
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- lim(x rarr 1) [x-1], where [*] is the greatest integer function is equ...
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- lim(x rarr 0)"x sin" (1)/(x) is equal to :
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- lim(n rarr oo) (1+2+3+…...+n)/(n^(2)), n in N is equal to :
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- lim(x rarr pi) (sin x)/(x - pi) is
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- lim(x rarr 0) (x^(2) cos x)/(1- cos x) is
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- lim(x rarr 0) ((1+x)^(n)-1)/x is
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- The value of lim(theta to 0)(1-cos 4theta)/(1-cos 6 theta) is
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- lim(x rarr 0) (cosec x - cot x)/x is
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- lim(x rarr 0) (sin x)/(sqrt(x + 1) - sqrt(1-x)) is :
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- lim(x rarr pi/4) (sec^(2)x-2)/(tan x -1) is
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- lim(x rarr 1) ((sqrt(x) - 1) (2x - 3))/(2x^(2) + x - 3) is :
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- If f(x) = [((sin [x])/([x]), [x] ne 0),(0, [x] = 0)], then lim(x rarr ...
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- lim(x rarr 0) (|sin x|)/x is
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- Let f(x) = {{:(x^(2) - 1, 0 lt x lt 2),(2x + 3, 2 le x lt 3):}, the qu...
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- lim(x rarr 0) (tan 2x - x)/(3x - sin x), is :
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- The function f(x) {((sin x)/x + cos x, x ne 0), (k, x = 0):} is contin...
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- The function f(x)= [x], where [x] denotes greatest integer function is...
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