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Test the continuity of the following fun...

Test the continuity of the following functions at indicated points :
`f(x) = {{:((x - a) "cos" 1/(x-a)"," ,x != a),(0",", x = a):}` at `x = a`

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Discuss the continuity of the function defined by f(x) = {{:((tan 2x...

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

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  3. Test the continuity of the following functions at indicated points : ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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