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Let y=f(x) be defined parametrically as ...

Let y=f(x) be defined parametrically as `y=t^2+t|t|, x=2t-|t|, t in R`, Discuss its continuity.

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PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  4. Let f(x) be a continuous function defined for 1 le x le 3. If f(x) tak...

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  5. Find the points points of discontinuity of y=1/(u^2+u-2) where u=1/(x-...

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  6. If f(x)=[x], where [.] denotes greatest integer function. Then check t...

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  7. Let f(x)={({1+|sinx|}^(a//|sinx|), -pi//6ltxlt0),(b, x=0),(e^(tan2x...

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  8. Discuss the continuity of f(x)=[tan^(-1)x]

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  11. A function f(x) is defined by, implies f(x)=f(x)={(([x^2]-1)/(x^2-1)...

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  14. If f(x) be continuous function for all real values of x and satisfies,...

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  15. Which of the following functions is differentiable at x=o ?

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  16. Let f(x)={(x exp[-(1/|x|+1/x)], x ne 0),(0, x=0):} Test whether f(x)...

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  17. Let f(x)={(x exp[-(1/|x|+1/x)], x ne 0),(0, x=0):} Test whether f(x)...

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  18. The left hand derivative of f(x)=[x]sin (pix) at x=k, k is an integer,...

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