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Examine the continuity of the function ...

Examine the continuity of the function
`f(x)= x^(3) + 2x^(2)-1 " at " x=1`

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The correct Answer is:
x=1
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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-NCERT Exemplar Problems and Solution (Short Answer Type Questions)
  1. Examine the continuity of the function f(x)= x^(3) + 2x^(2)-1 " at "...

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  2. Examine the continuity of the function f(x) = {(3x+5",","if " x ge 2...

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  3. Examine the continuity of the function f(x)= {((1-cos(2x))/(x^(2)),...

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  4. Examine the continuity of the function f(x)= {((2x^(2)-3x-2)/(x-2)",...

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  5. Examine the continuity of the function f(x) = {((|x-4|)/(2(x-4))","...

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  6. Examine the continuity of the function f(x) = {(|x|.cos ((1)/(x))","...

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  7. Examine the continuity of the function f(x) = {(|x-a| sin ((1)/(x-a...

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  8. Examine the continuity of the function f(x) = {((e^((1)/(x)))/(1 + e...

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  9. Examine the continuity of the function f(x)= {((x^(2))/(2)",","if " ...

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  10. Examine the continuity of the function f(x)= |x| + |x-1| at x=1

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

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  12. f(x)= {((2^(x + 2)-16)/(4^(x)-16)",",x ne 2),(k",",x=2):} f(x) is con...

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

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

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  15. Prove that the function f defined by f(x) = {((x)/(|x|+ 2x^(2))",","if...

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  16. Find the values of a and b such that the function f defined by f(x) ...

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  17. If the function f(x)= (1)/(x+2), then find the points of discontinuity...

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  18. Find all points of dicontinuity of the function f(t)= (1)/(t^(2) + t-2...

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

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  20. Examine the differentiability of f, where f is defined by f(x) = {(x...

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