LIM (x ^ n) - 1 / (x-1) n is a positive integer x → 1 1 + (the third power of U) / (1 + U) x → positive infinity under the root sign of lim4 Lim-x → positive infinity

LIM (x ^ n) - 1 / (x-1) n is a positive integer x → 1 1 + (the third power of U) / (1 + U) x → positive infinity under the root sign of lim4 Lim-x → positive infinity

LIM (x ^ n) - 1 / (x-1) n is a positive integer x → 1
lim[x→1](x^n-1)/(x-1)
=lim[x→1](x^(n-1)+x^(n-2)+...+x+1)
=n.
1 + (the third power of U) / (1 + U) x → positive infinity under the root sign of lim4
Lim [x → + ∞] (1 + u ^ 3) ^ (1 / 4) / (1 + U)]
=lim[x→+∞](1/u+1/u^4)^(1/4)/(1+1/u)
=0.
Lim-x → positive infinity
Lim [x → + ∞] [√ (x + P) (x + Q) - x]
=Lim [x → + ∞] [(P + Q) x + PQ] / [√ (x + P) (x + Q) + x]... [numerator denominator divided by x]
=lim[x→+∞][((p+q)+pq/x]/[√(1+p/x)(1+q/x)+1]
=(p+q)/2.