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

Determine if f defined by : `f(x)={(x^2sin(1/x),,,, if x ne0),(0,,,, if x=0):}`is a continuous function?

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  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)={(sinx/x,,,, if x <...

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  3. Determine if f defined by : f(x)={(x^2sin(1/x),,,, if x ne0),(0,,,, if...

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

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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. In the following, determine the constant so that given function is con...

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

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  8. Find the values of a and b such that the function defined by f(x){(5,"...

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

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

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  11. Examine if sin |x| is a continuous function.

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

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  13. Differentiate the following functions with respect to x. sin(x^3 + 5x)

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  14. Differentiate the following functions with respect to x. cos(sinx)

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  15. Differentiate the following functions with respect to x. sin (a x + ...

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  16. Differentiate the functions with respect to x: sec(tan(sqrtx))

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  17. Differentiate the functions with respect to x: (sin(ax+b))/(cos(cx+d))

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  18. Differentiate the functions with respect to x: cos x^3 cdot sin^2 (x^5...

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  19. Differentiate the following functions with respect to x. 2sqrt(cot (...

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  20. Differentiate the functions with respect to x cos(sqrtx)

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