Question

подробное решение пожалуйста​

Answer 1

lim(x->4) [✓1+2x - 3/✓x-2] = [ ✓1+2•4 - 3/✓4-2] = [✓9 - 3/✓2 ] = [3-3/✓2] = 0

Answer 2

$\displaystyle \tt \lim_{x \to 4} \frac{\sqrt{1+2x}-3}{\sqrt{x-2}}=\frac{\sqrt{1+2\cdot4}-3}{\sqrt{4-2}}=\frac{\sqrt{9}-3}{\sqrt{2}}=\frac{3-3}{\sqrt{2}}=\frac{0}{\sqrt{2}}=\fbox{\textbf{0}}$