Examine the system of equations.
2 answers:
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Answer:
a)
b) See Below for proper explanation
Step-by-step explanation:
a) The objective here is to Use the power series expansions for ex, sin x, cos x, and geometric series to find the first three nonzero terms in the power series expansion of the given function.
The function is
The expansion is of is
The expansion of cos x is
Therefore;
Thus, the first three terms of the above series are:
b)
The series for is
let consider the series;
Thus it converges for all value of x
Let also consider the series
It also converges for all values of x