$f(x)=e^{2x+3}$ fonksiyonunun $(x+1)\text{'}$in kuvvetlerine g$$re Taylor seri temsili a$$a$$dakilerden hangisinde verilmi$$tir$?$

$($a$){\displaystyle \underset{n=0}{\overset{}{}}}\frac{c{2}^n(x+1{)}^n}{n!}$

b$){\displaystyle \underset{n=0}{\overset{}{}}}\frac{3e{2}^n(x+1{)}^n}{n!}$

c$){\displaystyle \underset{n=0}{\overset{}{}}}\frac{e{3}^n(x+1{)}^n}{n!}$

d$){\displaystyle \underset{n=0}{\overset{}{}}}\frac{e{2}^{n-1}(x+1{)}^n}{n!}$

e$){\displaystyle \underset{n=0}{\overset{}{}}}\frac{e^2{2}^n(x+1{)}^n}{n!}$