Sequence And Series Question 523

Question: $ \frac{x^{2}-y^{2}}{1,!}+\frac{x^{4}-y^{4}}{2,!}+\frac{x^{6}-y^{6}}{3,!}+……\infty = $

Options:

A) $ e^{x}-e^{y} $

B) $ {e^{x^{2}}}-{e^{y^{2}}} $

C) $ 2+{e^{x^{2}}}-{e^{y^{2}}} $

D) $ \frac{e^{x}-e^{y}}{2} $

Show Answer

Answer:

Correct Answer: B

Solution:

$ S=({e^{x^{2}}}-1)-({e^{y^{2}}}-1)={e^{x^{2}}}-{e^{y^{2}}} $ .