$\"\"$

The series is $\"\"$ .

(a)

$\"\"$

The series is in the form of geometric series.

Apply formula the sum of $\"\"$ terms in geometric series is $\"\"$ .

Here first term $\"\"$ and $\"\"$ .

$\"\"$ .

Find sum of infinite terms of the series.

$\"\"$

$\"\"$ .

$\"\"$

(b)

Graph the function $\"\"$ .

$\"\"$

Observe the graph :

Tabulate the $\"\"$ values for different values of $\"\"$ .

\ \

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$

$\"\"$

(c)

Find the first ten terms of the sequence.

The sum of series is $\"\"$ .

If $\"\"$ then $\"\"$ .

Graph :

Graph the values $\"\"$ .

$\"\"$

(d)

The terms of the series decrease in magnitude slowly.So, the sequence of partial sums approaches the sum slowly.

$\"\"$

(a) $\"\"$ .

(b)

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$

(c) Graph :

Graph the values $\"\"$ .

$\"\"$

(d) The terms of the series decrease in magnitude slowly.So, the sequence of partial sums approaches the sum slowly.