Question

lim de sen (√x - 1)/ x-1, quando x tende a 1

Answer 1

Bom dia

d/(sen(√x - 1))/dx = (cos(1 - √(x)))/(2√(x))

lim (sen(√x - 1)(x - 1) = lim (cos(1 - √(x)))/(2√(x))
x-->1                             x-->1

lim (cos(1 - √(x)))/(2√(x)) = cos(0)/2 = 1/2 
x-->1