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Evalute lim(xrarr0)f(x) , where f(x)={...

Evalute
`lim_(xrarr0)f(x)` , where `f(x)={(absx/x, x ne 0),(0,x=0):}`

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A N EXCEL PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Find all points of discontinuity of f where f is defined by f(x)={(2x+...

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

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  3. Evalute lim(xrarr0)f(x) , where f(x)={(absx/x, x ne 0),(0,x=0):}

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

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

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  6. Is the function defined by f(x)={(x+5","ifxle1),(x-5","ifxgt1):} a con...

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  7. Find the relation between 'a' and 'b' if the function f defined by f...

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  8. Is the function defined by f(x)=x^2-sinx+5 continuous at x=pi?

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  9. Discuss the continuity of the following functions: f(x)=sinx+cosx

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  10. Discuss the continuity of the following functions: f(x)=sinx-cosx

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  11. Discuss the continuity of the following functions: f(x)=sinx.cosx

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

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

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  14. Prove that the function defined by f(x)= cosx^2 is a continuous f...

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  15. Show that the function f(x)=|cosx| is a continuous function.

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  16. Find all the points of discontinuity of f defined by f(x)=|x|-|x+1|

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  17. Differentiate sin(x^2+5) w.r.t.x

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  18. Differentiate cos(sinx)w.r.t.x

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  19. Differentiate sec(tan(sqrtx)) w.r.t.x

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  20. Differentiate sin(ax+b)/(cos(cx+d)) w.r.t.x

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