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Determine if f defined by f(x) = {(x^(2)...

Determine if f defined by `f(x) = {(x^(2)"sin" (1)/(x)",","if" x ne 0),(0",","if" x= 0):}` is a continuous function?

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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Exercise-5.1
  1. Discuss the continuity of the cosine, cosecant, secant and cotangent f...

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  2. Find all points of discontinuity of f, where f(x)= {((sin x)/(x)",","i...

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  3. Determine if f defined by f(x) = {(x^(2)"sin" (1)/(x)",","if" x ne 0),...

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  4. Examine the continuity of f, where f is defined by f(x)= {(sin x- cos ...

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  5. Find the values of k so that the function f is continuous at the indic...

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  6. Find the values of k so that the function f is continuous at the indic...

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  7. Find the values of k so that the function f is continuous at the indic...

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  8. Find the values of k so that the function f is continuous at the indic...

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  9. Find the values of a and b such that the function defined by f(x)= {(5...

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  10. Show that the function defined by f(x)= cos(x^(2)) is a continuous fun...

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  11. Show that the function defined by f(x)= |cos x| is a continuous functi...

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  12. Examine that sin |x| is a continuous function.

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  13. Find all the points of discontinuity of f defined by f(x) = |x| - |x+1...

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  14. Prove that the function f(x)= 5x- 3 is continuous at x=0, at x= -3 and...

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  15. Examine the continuity of the function f(x)= 2x^(2) -1 " at " x=3

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  16. Examine the following functions for continuity. f(x)= x-5

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  17. Examine the following functions for continuity. f(x)= (1)/(x-5), x ...

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  18. Examine the following functions for continuity. f(x)= (x^(2)-25)/(x+...

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  19. Examine the following functions for continuity. f(x) = |x-5|

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  20. Prove that the function f(x)= x^(n) is continuous at x= n, where n is ...

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