Question

Subiectul 2 ( ex2-C )
Subiectul 3 ( ex1- a,b)

Answer 1

2) c)
Conform punctului b)
x°x=2(x-3/2)^2+3/2
2(x-3/2)^2+3/2=2
2(x-3/2)^2=2-3/2
2(x-3/2)^2=1/2
(x-3/2)^2=1/4
Cazul 1: x-3/2=1/4
x=1/4+3/2=7/4
Cazul 2: x-3/2=-1/4
x=-1/4+3/2=(-1+6)/4=5/4


1)a)
limita cand x tinde la 1 din f(x)=limita cand x tinde la 1 din e^(-x)/x-2=e^(-1)/-1-2=1/e*1/-3=1/-3e
b)
f'(x)=(e^(-x))'(x-2)-(e^(-x))(x-2)'/(x-2)²=(-e^(-x)(x-2)-e^(-x))/(x-2)²=e^(-x)(2-1-x)/(x-2)²=e^(-x)(1-x)/(x-2)²