Q19 of 318 Page 29

Evaluate the following limits:

……(1)

We can see that this is a geometric progression with the common ratio 1/3.

And, we know the sum of n terms of GP is

Let suppose, and , then

Now, putting the value of S_n in equation (1), we get

Hence,

Evaluate the following limits:

, where a is a non-zero real number.

Evaluate the following limits:

and , then prove that f(-2) = f(2) = 1.