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Examine the contiunity of the following ...

Examine the contiunity of the following functions at the indicated points .`f(x)`=`{[2x+1 ,if xle0],[x, if 0 < x < 1],[2x-1,if xge1]:}`at `x=0,1.`

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SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
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  2. Find the value of k, so that the function defined by f(x)={(kx+1", if...

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  3. Examine the contiunity of the following functions at the indicated poi...

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  4. Examine the continuity of the function f defined by f(x)={[2x+1if x<1]...

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  5. If f(x)={(ax^2+b if x lt1),(1 if x=1),(2ax-b if xgt1):} is continuous...

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  6. Find the relationship between a and b so that thefunction defined by f...

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  7. Find the value of a and b if the function given below is continuous. ...

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  8. For what value of k the following function is continuous at x=0 ? f(...

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  9. If f(x)={(ax^2+b if x lt1),(1 if x=1),(2ax-b if xgt1):} is continuous...

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  10. Show that : sin^2x is continuous for everyreal value of x.

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  11. f(x)={(x^2 sin (1/x), xne0 ),(0, x=0):} at x=0

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  12. If 'f(x)= {((1-cos4x)/(x^2)),whenx<0),(k,whenx=0),(sqrtx/(sqrt(16+sqrt...

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  13. Find the value of k so that the function f defined by f(x)={((kcos x)/...

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  14. If the function f(x)={:{(3ax+b", if "xgt1),(11", if "x=1)...

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  15. Find all points of discontinuity of f, where f is defined by f(x)={:{(...

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  16. Find the derivative of tan^(-1)((cosx+sinx)/(cosx-sinx)) w.r.t. x.

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  17. What is the derivative of e^(3logx) w.r.t.x?

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  18. If u=t^2and v=sint^2then dv/du=.

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  19. If y=sec^(-1)(sqrtx+1)/sqrtx+sin^(-1)fracsqrtx(sqrtx+1)then dy/dx=

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  20. Write the derivative of sinx with respect to cosx.

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