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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
- Let f(x+y) = f(x).f(y), forall, x, y. Suppose f(5) =2, f^(')(0) = 3 th...
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- If f(x) = {((1-cos 4x)/x^(2), x lt 0),(a, x =0),((sqrtx)/(sqrt(16+sqrt...
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- The value of lim(x rarr 0) (sqrt(a+x)- sqrt(a-x))/x =
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- The value of Lim(xto pi)(sqrt(2+cosx)-1)/((pi-x)^(2)) is
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- If f (x) = |{:( sin x , cos x , tan x) , (x^(3) , x^(2) , x) , (2x , 1...
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- If f(a)=2,f'(a)=1,g(a)=-3,g'(a)=-1 then Lim(xtoa)(f(a)g(x)-f(x)g(a))/(...
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- lim(x rarr 0) (1-ax)^(1/x) =
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- Lim(nto oo)(3^(n)+4^(n))^((1)/(n))=
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- lim(x rarr oo) (1-4/(x-1))^(3x-1) =
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- The value of lim(x rarr 1) (tan^(2)(x-1))/(x^(3)-x^(2)-x+1) =
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- lim(theta rarr pi/2) (pi/2- theta)/(cot theta) =
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- lim(x rarr 0) (tan x - sin x)/(x^(3)) =
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- The value of lim(x to 0)(5^(x)-5^(-x))/(2x)=
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- lim(x-1)(tan(x^(2)-1))/(x-1) is equal to
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- The value of lim(x rarr oo) (3^(x+1) - 5^(x+1))/(3^(x)-5^(x) is
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- If G(x) = -sqrt(25-x^(2)) the lim(x rarr 1) (G(x)-G(1))/(x-1) =
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- lim(n rarr oo) ((1)/(1-n^(2)) + (2)/(1-n^(2)) +…...+(n)/(1-n^(2))) is ...
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- lim(x rarr oo) ((2 + x)^(40) (4 + x)^(5))/((2-x)^(45)) is :
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- lim(x rarr oo) x^(n)/e^(x) = 0 (n is an integer) for
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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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