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Consider the following : 1. lim(xto0) ...

Consider the following :
1. `lim_(xto0) (1)/(x)` exists.
2. `lim_(xto0) (1)/(e^(x))` does not exist.
Which of the above is/are correct?

A

1 only

B

2only

C

Both 1 and 2

D

Neither 1 nor 2

Text Solution

Verified by Experts

The correct Answer is:
B
`underset(xto0)lim(1)/(x)=(1)/(0)=oo` which does not exist.
Hence, statement-1 is incorrect.
Now, `underset(xto0)lim^(1//x)=e^(oo)` which also does not exist.
Hence, statement-2 is correct.
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