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| PAGE: 642 | SET: Exercises | PROBLEM: 1 |

The function is
.
Find the transformation that relates
to
, use
-substitution.
Substitute
for
in
, equate the two functions and solve for
.



.
Therefore,
.
Replace
with
in
yields
.
The power series is
.
The series is converges for
.

.
The series converges for
.
Find the sixth partial sum of the series
.
The sixth partial sum of the series is
.
Graph :
Graph the function
and sixth partial sum
.

for
.
Graph of the function
and
is


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