Answer:
Step-by-step explanation:
Given
Required
The power series centered at
We have:
Factor out 5 from the denominator
Rewrite as:
Further, rewrite as:
Expand the bracket
Evaluate all exponents
Open brackets
Notice the pattern as:
So, the power series is:
2 2/3
-2 1/3-(-5)
-2 1/3+5
5-2 1/3
x= 3 5 + 1 5 √149 or x= 3 5 + −1 5 √149