Write the first 6 terms of the exponential series
`e^(5x)`

Write the first 6 terms of the exponential series e^(-2x)

Write the first 6 terms of the exponential series e^(1/2x)

Write the first 4 terms of the logarithmic series log(1+4x) Find the intervals on which the expansions are valid.

Write the first 4 terms of the logarithmic series log(1-2x) Find the intervals on which the expansions are valid.

Write the first 4 terms of the logarithmic series log((1+3x)/(1-3x)) Find the intervals on which the expansions are valid.

Write the first 4 terms of the logarithmic series log((1-2x)/(1+2x)) Find the intervals on which the expansions are valid.

If the sum of the first n terms of the series

Write the first three terms of the expansion of (1+(x^(2))/(2))^(-5)