Calculation limit: LIM (x → 2) (x ^ 3 + 2x ^ 2) / (X-2) ^ 2

Calculation limit: LIM (x → 2) (x ^ 3 + 2x ^ 2) / (X-2) ^ 2

lim(x→2) (x-2^2)/(x^3+2x^2)=0
lim(x→2) (x^3+2x^2)/(x-2)^2=∞

Calculation limit: LIM (x → 4) [√ (1 + 2x)] - 3 / (√ x) - 2

Multiplication √ (1 + 2x) + 3
Original formula = LIM (1 + 2x-9) / [√ (1 + 2x) + 3] (√ X-2)
=lim2(x-4)/[√(1+2x)+3](√x-2)
=lim2(√x+2)(√x-2)/[√(1+2x)+3](√x-2)
=lim2(√x+2)/[√(1+2x)+3]
=2*(2+2)/(3+3)
=4/3

The computational limit is 1 / X of LIM (n →∞) (1-x)
(x→∞）

Is the title wrong
Using the conclusion LIM (x --- > 0) (1 + 1 / x) ^ x = e
1 / X of LIM (x → 0) (1-x)
Substitution - x = 1 / T
lim(t→∞）(1+t)^(-1/t)
=lim(t→∞）[(1+t)^(1/t)]^(-1)
=e^(-1)
=1/e