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Discuss the continuity of the function f...

Discuss the continuity of the function f, where f is defined by: `f(x)={(-2,,,, if xle-1),(2x,,,, if -1lexle1),(2,,,, if x>1):}`

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Disuss the continuity of the function f where f is defined by f(...

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  2. Discuss the continuity of the function f, where f is defined by: f(x)=...

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  3. Discuss the continuity of the function f, where f is defined by: f(x)=...

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  4. Find the relationship between a and b so that the function f defined b...

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  5. For what value of lambda is the function defined by f(x) = {:{lambda(x...

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  6. Show that the function defined by g(x) = x-[x] is discontinuous at al...

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  7. Is the function defined by f(x) = x^2-sinx+5 continuous at x=pi

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  8. Discuss the continuity of the following function: f(x) = sinx + cosx

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  9. Discuss the continuity of the following function: f(x) = sinx - cosx

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  10. Discuss the continuity of the following function: f(x) = sinx cdot cos...

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  11. Discuss the continuity of the cosine, cosecant, secant and cotangent f...

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  12. Find all points of discontinuity of f, where: f(x)={(sinx/x,,,, if x <...

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

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

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

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

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

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

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

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

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