Question
The value of a for which tends to a finite limit as is

1

2

–3

None of these
easy
Solution
None of these
Since numerator as well as denominator both tends to zero as so applying L’ Hospital Rule, we have
But the numerator tends to 2 + a as and as
So the last limit can be finite only if 2 + a = 0, i.e., a = –2.
In this case the last limit will be equal to
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