Да се намерят границите

[bortas]

lim ( x-3/sin(3-x) )
x->3

lim ( 1 + 1/3n )^n
x->∞

[Donatello]

[tex]\lim_{x\to 3} \frac{x-3}{sin(3-x)} ->\frac{x-3}{-sin(x-3).\frac{x-3}{x-3}} ->-1[/tex]

[tex]\lim_{x\to \infty} (1+\frac{1}{3n})^n ->(1+\frac{\frac{1}{3}}{n})^n -> e^{\frac{1}{3}}[/tex]