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Q.

Let f:R→[0,∞] be such that limx→5 f(x) exists and limx→5 (f(x))2−9|x−5|=0 then limx→5 f(x) equals

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a

0

b

1

c

2

d

3

answer is D.

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Detailed Solution

limx→5fx2-9x−5=0limx→5fx2−9=0limx→5fx=3
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