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Discuss the continuity of the function f...

Discuss the continuity of the function `f(x) `at `x = 3` if
`f(x) = {{:((x - 3)/(sqrt(x^2) - 9)"," ,x != 3),(0",", x = 3):}`

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Continuous
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BETTER CHOICE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)
  1. The derivative of a^x is

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  2. Discuss the continuity of the function (x) at x = 1 if f(x) = {{:((x...

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  3. Discuss the continuity of the function f(x) at x = 3 if f(x) = {{:((...

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  4. Find all the points of discontinuity of f, where f is defined by f(x...

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  5. Find (dy)/(dx) if y = log (sqrt(2x + sqrt(4x^2 + a^2)))

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  6. If x^y = e^(x + y) , show that (dy)/(dx) = (log x - 2)/((1 - log x)^2)

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  7. If siny = xsin(a+y), prove that dy/dx=sin^2(a+y)/sina

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  8. Differentiate cos^(-1) ((1 - x^2)/(1 + x^2)) , 0 lt x lt 1. w.r.t.x

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  9. Diferentiate tan^(-1)((2x)/(1 - x^2)) w.r.t.x.

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  10. If y = a sin (log x) + b cos (log x), then prove that : x^2 d^2y/dx^2+...

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  11. If y=sin(msin^-1x), prove that (1-x^2)y2-xy1+m^2y=0

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

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  13. Discuss the continuity of following at x = 0 if f(x) = {{:((sqrt(1 +...

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  14. Determine the value of constant k so that the function f(x) = {{:((x...

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  15. Determine the constant k, so that the function f(x) = {{:((x^2- 9)/(...

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  16. Examine the continuity of the following function at x = 2 : f(x) = {...

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  17. Examine the continuity of the following function at x = 2 : f(x) = {...

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  18. Differentiate the following w.r.t.x y = log(x+4+sqrt(x^2 +8x+4))

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  19. Differentiate the following w.r.t.x y= log(x+2+sqrt(x^2 + 4x+1))

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  20. y = sqrt(cos x + sqrt(cosx + sqrt(cosx + ...."to " oo))) prove that (2...

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