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Find the values of a so that the functio...

Find the values of a so that the function f defined by `f(X) = {:{((sin^2ax)/x^2, x ne 0),(1, x = 0):}` may be continuous at x = 0.

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Determine the value of the constant k so that the function f(x) = {:{(...

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

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  3. Find the values of a so that the function f defined by f(X) = {:{((sin...

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  4. Find the value of a if the function f defined by f(x) = {:{(2x-1, x < ...

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  5. Show that the function f(x) = |x + 1| + | x - 1| is continuous at x = ...

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  6. Consider the functions defined as follows, for x ne 0. In each case, w...

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  7. Consider the functions defined as follows, for x ne 0. In each case, w...

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

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  9. Find k in R if f(x) = {:{((cos^2 x - sin^2 x -1)/(sqrt(x^2+1) - 1), x ...

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  10. Let f(x) = {:{((1-cosax)/(xsinx), x ne 0),(1/2, if x = 0):} If f is co...

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  11. Find the value of the constant k so that function f(x) = {{:((k cos ...

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  12. Examine the following functions for continuity: f(x) = {:{(x^n sin1/...

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

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  14. Examine the following functions for continuity: f(x) = {:{((x-a) cos...

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  15. Examine the following functions for continuity: f(x) = {:{(e^(1//x),...

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  16. If f(x) = {:{((x^2-(a+2)x+a)/(x-2), x ne2),(2,x=2):} is continuous at ...

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  17. Find f(0) if the function defined as f(x) = {:{(log(1+x/a)-log(1-x/b))...

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

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

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  20. Show that the function f(x) = |sin x + cos x | is continuous at x = pi...

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