Question

lim(x=0)sin5x/sqrt(x+1)-1=

Answer 1

$lim_{x to  0} frac{(sin5x)'}{ (sqrt{x+1}-1 )'} \ lim_{x to 0} frac{5cos5x}{ frac{1}{2} frac{1}{ sqrt{x+1} } } = frac{5}{0,5} =10$