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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
- Let f(a)=g(a)=k and their n t h derivatives exist and are not equal fo...
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- If f(x)={(x^nsin(1/(x^2)),x!=0), (0,x=0):}, (n in I), then (a) lim(...
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- Let f(x) be a twice-differentiable function and f"(0)=2. The evaluate:...
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- The value of lim(x to1)(p/(1-x^p)-q/(1-x^q)),p ,q , in N , equal (a)(...
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- Evaluate : lim(x->0)(log)(tan^2x)(tan^2 2x)dot
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- lim(x->0)(sin(x^2))/(1n(cos(2x^2-x))) is equal to (a) 2 (b) -2 ...
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- If the graph of the function y=f(x) has a unique tangent at the point ...
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- underset(xto-1)lim(1)/(sqrt(|x|-{-x})) (where {x} denotes the fraction...
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- Evaluate: lim(x->0)x^m(logx)^n ,m , n in Ndot
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- Let f(x)=("lim")(nvecoo)1/((3/pitan^(-1)2x)^(2n)+5)dot Then the set of...
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- Evaluate (lim(x->oo))(x(log)e{(sin(a+1/x))/(sina)}), 0 lt a lt pi/2
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- lim(x->0) {(1+x)^(2/x)} (where {.} denotes the fractional part of x ...
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- Evaluate: lim(x->0)(2^x-1)/((1+x)^(1/2)-1)
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- If f(n+1)=1/2{f(n)+9/(f(n))},n in N , and f(n)>0 for all n in...
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- Evaluate underset(xto1)lim(a^(x-1)-1)/(sinpix).
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- Find lim(x->0)(5x+2cosx)/(3x+14) using sandwitch theorem
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- Evaluate : [underset(x to 0)lim (tan x)/(x)], where [*] represents the...
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- If lim(n->oo)1/((sin^(-1)x)^("n")+1)=1 ,t h e n find the range of x.
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- Evaluate : [underset(x to 0)lim (tan x)/(x)], where [*] represents the...
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- Evaluate underset(xto0)lim(e^(x)-e^(xcosx))/(x+sinx).
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