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PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
- Suppose p(x) = a0 + a1x + a2x^2 +…+ anx^n. If |p(x)| le |e^(x-1) - 1| ...
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- Let f(x)={((a(1-sinx)+b.cosx+5)/x^2,xlt0),(3, x=0),((1+((cx+dx^3)/x^...
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- about to only mathematics
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- Let f(x) be a continuous function in [-1, 1] and satisfies f(2x^2 - 1)...
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- Let g(x) =int0^x f(t) dt where f is such that 1//2lef(t)le1 for tin[0,...
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- Determine the values of x for which the following functions fails to b...
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- In a function f : [-2a, 2a] rarr R is an odd function such that f(x) =...
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- lim(xrarr0)sqrt(1-cos2x)/(sqrt2x) is equal to
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- lim(xrarr2)(-1)^x (where [x] is the greatest integer function ), is eq...
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- lim(xrarr1([x]+[x]) , (where [.] denotes the greatest integer function...
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- If zr=cos(ralpha/n^2)+i"sin"(ralpha/n^2), where r=1,2,3,…n, then lim(n...
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- lim((xrarrinfty)((x+1))^(x//3) is given by
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- If lim(xrarrinfty)(sqrt(x^2-x+1 )-ax-b) = 0 then the values of a and b...
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- lim(xrarr0)[(In cosx)/((1+x^2)^(1/4)-1))] is equal to
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- If lim(nrarrinfty)(an-frac(1+n^2)(1+n))=b a finite number then
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- The integer n for which lim(x rarr0)((cos x-1)(cosx-e^x))/x^n is a fin...
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- The value of lim(xrarrinfty)frac(x+cosx)(x+sinx is
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- The value of f(0) so that the function f(x)=frac(2x-sin^-1x)(2x+tan^-1...
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- Which of the following function has finite number of points of discont...
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- Let f (x) = [3+2 cos x] , x in (-frac(pi)(2),frac(pi)(2)) where [.] de...
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