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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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PSEB-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)={(sinx-cosx,...

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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)={(...

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

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

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  12. Examine the continuity of the function 'f' at x = 0, if f(x) ={(x sin(...

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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. Differentiate the functions with respect to x: sin(x^2 + 5)

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  15. Differentiate the functions with respect to x: cos(sinx)

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  16. Differentiate the functions with respect to x: sin(ax+b)

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

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

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

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  20. Differentiate the functions with respect to x: 2sqrt(cot(x^2))

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