Quiz 2 Solutions

Q.1. Find the limit:

The above limit is and indeterminate form of the type. We can use logarithms to find it:

Let , then

Now = = =

Applying the d'Hospital Rule we get:

= = = -2

To find the limit we have to "undo" the initial logaritmization:

ANSWER: = =

Q.2. Evaluate the integral:

Let note:

Then =

ANSWER: =