Tentukan fungsi limit berikut Lim 2- akar 5 - x X→1 --------------------- X-1

Langsung aja y

lim x→1 (2-√5-x) / (x-1)

lim x→1 (2-√5-x)(2+√5-x) / (x-1)(2+√5-x)

lim x→1 (4 - (5 - x) / (x - 1)(2 + √5-x)

lim x→1 (x-1) / (x-1)(2+√5-x)

= (1-1) / (1-1)(2+√5-1)
= 0

Semoga berguna +_+

Lim (2 - √(5 - x))/(x - 1)
= Lim (2 - √(5 - x))/(x - 1) . (2 + √(5 - x))/(2 + √(5 - x))
= Lim (4 - (5 - x)) / (x - 1)(2 + √(5 - x))
= Lim (x - 1)/(x - 1)(2 + √(5 - x))
= Lim 1/(2 + √(5 - x))
= 1/(2 + √(5 - 1))
= 1/(2 + √4)
= 1/4