Question

Lim √3x-1 - √x+1
x⇒1 √2x-1 - √x


mohon bantuan nya

Answer 1

L = lim(x→∞) (1 - 2/x)^(3x) 

L = lim(x→∞) 3x ln(1 - 2/x) 
......= lim(x→∞) 3 ln(1 - 2/x) / (1/x) 
......= lim(t→0+) 3 ln(1 - 2t)/t,= 1/x 
......= lim(t→0+) 3 * (-2/(1 - 2t))/1
......= -6. 
 L = e^(-6).