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PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
- Solve lim(xrarr0^-)[tanx/x] (where [.] denotes greatest integer functi...
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- Evaluate lim(xrarr1)(x^(P+1)-(P+1)x+P)/((x+1)^2)
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- Evaluate lim(xrarr0) tan(2x )/x
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- Evaluate lim(xrarra)(2-a/x)^("tan"(pix)/(2a))
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- The graph of function y=f(x) has a unique tangent at (e^a,0), through ...
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- Evaluate lim(nrarrinfty)([x]+[2x]+[3x]+......+[nx])/(n^2) where [.] d...
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- Evaluate lim(xrarr0)(int0^(x^2) costdt)/(xsinx)
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- Evaluate lim(xrarr0)(x-int0^(x) cost^2dt)/(x^3-6x)
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- Evaluate : lim(x to 0) {tan(pi/4+x)}^(1/x)
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- If alpha and beta be the roots of the quadratic equation ax^2+bx+c=0 t...
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- Let a=min{x^2+2x+3, x in R} and b=lim(thetararr0)(1-costheta)/(theta^2...
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- If f(x)={(2x+3, "when x" lt 0),(0, "when x"=0),(x^2+3, "when x"gt 0):}...
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- Let y=f(x) be defined parametrically as y=t^2+t|t|, x=2t-|t|, t in R, ...
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- Let f(x) be a continuous function defined for 1 le x le 3. If f(x) tak...
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- Find the points points of discontinuity of y=1/(u^2+u-2) where u=1/(x-...
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- If f(x)=[x], where [.] denotes greatest integer function. Then check t...
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- Let f(x)={({1+|sinx|}^(a//|sinx|), -pi//6ltxlt0),(b, x=0),(e^(tan2x...
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- Discuss the continuity of f(x)=[tan^(-1)x]
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- Examine the function, f(x)={(x-1, x lt 0),(1//4, x=0), (x^2-1, xg...
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- Show the function, f(x)={((e^(1//x)-1)/(e^(1//x)+1), "when x" le 0),...
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