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If the function f(x)={{:((x ^(2) -9)/(x...

If the function `f(x)={{:((x ^(2) -9)/(x-3), "when" x ne3),(2x+a, "when" x=3):}` is such that `lim _(x to3) f(x) =f(3),` then the value of a is-

A

3

B

6

C

0

D

4

Text Solution

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The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 2
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  6. The domain of definition of the function sin ^(-1) [log (3) ((x)/(3))]...

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  7. The equation of the parabola with vertex at the origin and directix is...

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  10. If the function f(x)={{:((x ^(2) -9)/(x-3), "when" x ne3),(2x+a, "whe...

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  15. If f(x) = cos [pi ^(2)] x+cos [-pi^(2)]x, thenthe value of f ((pi)/(2)...

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  16. The value of lim (xto(pi)/(2))tan^(2) x (sqrt( 2 sin ^(2) x+3 sin x+4...

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