Question

nu am stiut punctele b si c.. la b m am incurcat cu inlocuitul iar c ul mi a dat ceva batai de cap.. va multumesc anticipat!

Answer 1

$\displaystyle b)~\lim_{x \to 1} \frac{f(x)-f(1)}{x-1}~este~f'(1)~(de finitia~derivatei) \\ \\ f'(x)= \frac{2x+3}{(x+2)^2}e^{2x} \\ \\ f'(1)= \frac{5e^2}{9} \\ \\ c)~g(x)= \frac{x+3}{x+2} \\ \\ \lim_{x \to \infty} g(x)= \lim_{x \to \infty} \frac{x+3}{x+2}=1. \\ \\ \Rightarrow asimptota~orizontala~la~+ \infty~de~ecuatie~y=1.$