Answer :
[tex] \: \: \: \: [/tex]
[tex] lim_{n→ \infty }( \frac{xe ^{x} }{x + ex} ) [/tex]
- the limit of a constant is equal to the constant
[tex] \frac{x {e}^{x} }{x + ex} [/tex]
- simplify the expression
[tex] = \frac{ {e}^{x} }{1 + e} [/tex]
hope it helps
[tex] \: \: \: [/tex]