Question

Lim (√(2x+2)-√(x+3))/(x^2-1)
x=1

Answer 1

Limit x mendekati 1

(√2x + 2) - (√x + 3) / (x² - 1)

= ( 2 / 2(√2x + 2)) - ( 1 / 2(√x + 3)) / 2x
masukkan nilai 1 ke dalam x

= ( 2 / 2(√2(1)+2)) - (1 / 2(√1+3)) / 2(1)
= (2 / 2.2) - (1 / 2.2) / 2
= (2 / 4) - ( 1 / 4) / 2
= (1 / 4) / 2
= 1 / 8