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A man is driving a car on the dangerous ...

A man is driving a car on the dangerous path given by:
`f(x) = {:{((1-x^m)/(1-x),xne1),(m-1,x=1):}, m in N`. Find the dangerous point (point of discontinuity) on the path. Whether the driver should pass that point on not? Justify your answer?

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Find the values of 'p' and 'q' for which: f(x) = {:{((1-sin^3x)/(3co...

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  2. The funtion f(x) is defined as follows: f(x) = {:{(x^2+ax+b,0lex<2),...

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  3. A man is driving a car on the dangerous path given by: f(x) = {:{((1...

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  4. Find all the points of discontinuity of the function f defined by f(x)...

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  5. Find all points of discontinuity of f, where f is defined by : f(x)={(...

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  6. Find all the points of discontinuity of f, where f is defined by f(x...

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  7. Show that the following functions are continuous: f(x) = sin(x^2)

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  8. Show that the following functions are continuous: f(x) = cos(x^2)

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  9. Show that the following functions are continuous: f(x) = |cosx|

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  10. Show that the function 'f' given by: f(x) = |x| + |x-1|, x in R is c...

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  11. Show that the function 'f' given by: f(x) = |x-1|+|x-2|, x in R is c...

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  12. Locate the points of discontinuity of the function: f(x) = {:{((x^4-...

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  13. Examine the derivability of the following functions at the specified p...

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  14. Examine the derivability of the following functions at the specified p...

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  15. Examine the derivability of the following functions at the specified p...

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  16. Examine the derivability of the following functions at the specified p...

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  17. If 'f' is differentiable at x = a, find (underset(xrarra)lim(x^2f(a)-a...

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  18. If F(x) = f(Ax) and f(ax) is differentiable , then prove that F'(x) = ...

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  19. If f(x) = {:{(xsin(1/x),xne0),(0,x=0):} Show that 'f' is not different...

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  20. Show that the function defined by: f(x) : {:{(3-2x,ifx<2),(3x-7,ifxg...

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