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Discuss the continuity of f(x) at x = 0 ...

Discuss the continuity of f(x) at x = 0 if:
`f(x) = {:{((sqrt(1+x)-sqrt(1-x))/sinx, when x≠ 0),(0, when x = 0):}`

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Test the continuity of the following functions at indicated points : ...

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  2. Examine the function for continuity at x = 0: f(x) = {:{(sinx/x, whe...

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  3. Discuss the continuity of f(x) at x = 0 if: f(x) = {:{((sqrt(1+x)-sq...

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

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

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

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

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

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

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

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

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

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  13. For what value of 'k' is the function defined by f(x) = {:{(k(x^2+2),i...

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  14. If the function defined by : f(x) = {:{(2x-1,x<2),(a,x=2),(x+1,x>2):...

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  15. If the following function f(x) is continuous at x = 0, find the value ...

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  16. Determine the constants 'a' and 'b' so that the function 'f' defined b...

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  17. Determine the constants 'a' and 'b' so that the function 'f' defined b...

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  18. If the function f(x) given by: f(x) = {:{(2ax+b,ifx>1),(9,ifx=1),(6a...

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  19. Find the values of a and b so that the following function is continuou...

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  20. Find 'a' and 'b' if the function: f(x) = {:{((sinx)/x, -2lex<0),(a.2...

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