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Let f(x)={{:(1, x le -1),(lambdax + mu, ...

Let `f(x)={{:(1, x le -1),(lambdax + mu, -1 < x < 3), (5, x ge3):}`find `lambda` and` mu` if f is a continuous function.

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. For what choice of a and b are the following functions continuous? f...

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  2. Examine for continuity the function :f(x) = {:{(sin^-1 |x|, x ne 0), (...

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  3. Let f(x)={{:(1, x le -1),(lambdax + mu, -1 < x < 3), (5, x ge3):}find ...

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  4. Examine the function [1-x]+[x-1] for continuity at x = 1.

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  5. Find the domain of continuity of the following functions: f(x) = (si...

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  6. Find the domain of the following functions: f(x) = log (1-x )+ sqrt(...

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  7. Find the domain of continuity of the following functions: f(f(x)), w...

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  8. Find the domain of continuity of the following functions: f(x) = | 2...

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  9. Given the function f(x) = 1/(x+2). Find the points of discontinuity of...

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  10. Find all the points of discontinuity of the function f(t) = (1/(t^2 + ...

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  11. Examine the following functions for continuity: f(x) = {:{(x cos (1/...

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  12. Examine for continuity and differentiability, each of the following fu...

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  13. Examine for continuity, each of the following functions: f(x) = {:{(...

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  14. Examine for continuity and differentiability, each of the following fu...

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  15. Examine for continuity and differntiability, each of the following fun...

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  16. Examine for continuity the following functions: f(x) = {:(x^2, if x ...

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  17. Let f(x) = x+ |x|. Show that f is continuous but not derivable at x = ...

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  18. Show that the function f(x) = {{:(-x^2, x le 0),(x^2 ,x gt 0):} is con...

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  19. The function 'f' defined as: f(x) = {:{(x^2+3x+a,ifxle1),(bx+2,ifx>1...

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

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