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Discuss the continuity of f(x)=[tan^(-1)...

Discuss the continuity of `f(x)=[tan^(-1)x]`

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CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
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  3. Discuss the continuity of f(x)=[tan^(-1)x]

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  4. If y=1/(t^2+t-2),where \ t=1/(x-1), then find the number of points w...

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  5. Let f be a continuous function defined onto [0,1] with range [0,1]. S...

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  6. Let f be continuous on the interval [0,1] to R such that f(0)=f(1)dot ...

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  7. f(x)={(a x(x-1)+b ,, x<1),(x-1 ,, 1lt=xlt=3),(p x^2+q x+2 ,, x >3):} ...

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  8. Find the values of a and b if f(x)={a+sin^(-1)(x+b), xgeq1 and x ,x<1 ...

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  10. Discuss the differentiability of f(x)=m a x{2sinx ,1-cosx}AAx in (0,...

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  11. Discuss the differentiability of f(x)="max"{x^2-3x+2,2-|x-1|}

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  12. Discuss the differentiability of f(x)=e^(-|x|)

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  13. If f(x)={x ,xlt=1,x^2+b x+c ,x >1 find b and c if function is continu...

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  14. Test the continuity and differentiability of the function f(x)=|(x+1/2...

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  15. Let f(x)={(log(1+x)^(1+x)-x)/(x^2)}dot Then find the value of f(0) so ...

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  18. What value must be assigned to k so that the function f(x)={(x^4-25...

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  19. Let f(x) be a function defined as f(x)={(x^2-1)/(x^2-2|x-1|-1),x!=1 ...

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  20. If the function f(x)={(Ax-B ,, x le 1),(3x ,,1 lt x lt 2),(Bx^2-A ,, ...

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