tolong dijawab dong lim akar 2+x - akar 2-x per x x>0

lim [x-->0] (√(2 + x) - √(2 - x))/x
= lim [x-->0] (√(2 + x) - √(2 - x))/x × (√(2 + x) + √(2 - x)) / (√(2 + x) + √(2 - x))
= lim [x-->0] (2 + x - (2 - x))/ x(√(2 + x) + √(2 - x))
= lim [x-->0] (2x)/x(√(2 + x) + √(2 - x))
= lim [x-->0] 2/(√(2 + x) + √(2 - x))
= 2/(√(2 + 0) + √(2 - 0))
= 2/(√2 + √2)
= 2/2√2
= 1/√2
= 1/2 √2