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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
- lim(x rarr 0) (sqrt(1+x)-1)/x =
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- If f(x) = [((sin [x])/([x]), [x] ne 0),(0, [x] = 0)], then lim(x rarr ...
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- The value of lim(x rarr k^(-)) x -[x], where k is an integer, is
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- The value of lim(x rarr 0) (1-cos(1-cosx))/(x^(4)) is
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- lim(x rarr 3)[x] =
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- lim(x rarr 1) (x^(8)-2x+1)/(x^(4)-2x+1) =
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- If f(x) = sqrt((x-sinx)/(x+cos^(2)x)), then lim(x rarr oo) f(x) =
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- lim(n rarr oo) (1+(sin) a/n)^(n) equals
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- lim(x rarr 0) (4^(x)-1)/(3^(x)-1) =
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- The value of lim(n rarr oo){1/1.3+1/3.5+1/5.7+...+1/((2n+1)(2n+3))} is
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- The valueof lim(x rarr 0) (e^(ax)-e^(bx))/x is
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- If S(1) = sumn, S(2) = sumn^(2), S(3) = sumn^(3) then lim(n rarr oo) (...
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- The value of lim(x rarr 0) ((4^(x)-1)^(3))/(sin(x^(2)/4) log (1+3x)) ...
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- lim(x rarr 0) x log(e) (sinx) is equal to
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- The value of lim(n rarr pi/2) (cotx-cosx)/((pi-2x)^(3)) , is
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- The value of lim(x rarr oo) (sinx)/(x) is
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- lim(x rarr 0) (e^(1/x)-1)/(e^(1/x)+1) =
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- The value of lim(x rarr oo) [sqrt(a^(2)x^(2)+ ax+1) - sqrt(a^(2)x^(2)+...
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- lim(x rarr oo) (1-4/(x-1))^(3x-1) =
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- lim(x rarr 0) (a^(x)-b^(x))/(e^(x)-1) =
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