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Let f(x) = (x+|x|)/x for x ne 0 and let ...

Let `f(x) = (x+|x|)/x` for `x ne 0` and let f (0) = 0, Is f continuous at 0?

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Using differentials find an approximate value of sqrt66

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  2. Let f(x) = (log(1+x))/(sinx) for x ne 0. Find f(0) if f is continuous ...

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  3. Let f(x) = (x+|x|)/x for x ne 0 and let f (0) = 0, Is f continuous at ...

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  4. Let f(X) = sin x cos x. Write down the set of points of discontinuity ...

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  5. Write the set of points of discontinuity of the signum function.

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  6. Find the derivative of following cot7x +3x^5 +sin3x

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  7. Let f(x) = (e^(1//x))/(1+e^(1//x)) for x ne 0. Find f (0) if f is left...

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  8. Show that the function f(x) = {:{(x^n sin(1/x), x ne 0),(0, x = 0):} i...

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  9. Find ainR so that f(x) = {:{(x^2, x ge0),(ax,x<0):} is continuous at 0...

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  10. Let f(x) = (2^(1/x))/(1+2^(1/x)) for x ne 0. Find f(0) if f is right c...

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  11. Let f(x) = [sinx], is f continuous at x = pi/2

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  12. Let f(x) = {:{(2x-5,if xge2),(x^2, if x <2):}. Is f continuous at x = ...

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  13. Determine the value of the constant k so that the function f(x) = {:{(...

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  14. Given f(x) = 1/(x+2). Write down the set of points of discontinuity of...

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  15. Write down the domain of continuity of the function f(x) = x|x|

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  16. Let f(x) = |x| cos (1/x) for x ne 0. Write the down the value of (f) ...

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  17. Write down the domain of continuity off(x) = e^(|x|)

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  18. Let f(x) = x[x]. Is f continuous on left of x = 2.

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  19. Find the value of 'k', such that the function : f(x) = {:{(2x^(x+2)-...

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  20. Find d/(dx)(1/(sqrt(1-x^2))

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