Which of the following values does the series represent?

Question

 

Which of the following values does the series  represent?

	e-3
	e3
	None of these-the series does not converge

Answer 1

This is series for e^1/3.

Indeed e^x = ∑₀^∞x^k/k! If we set x = 1/3 we get e^1/3 = ∑₀^∞1/(3^kk!)