Limit problem lim(1+1/2+1/4+.+1/2^n) N → infinity LIM ((x ^ 2 - 1) / (x ^ 2 + 3)) ^ (x ^ 2 + 1) X → infinity How to write the process of these two questions?

Limit problem lim(1+1/2+1/4+.+1/2^n) N → infinity LIM ((x ^ 2 - 1) / (x ^ 2 + 3)) ^ (x ^ 2 + 1) X → infinity How to write the process of these two questions?

1. Let s = 1 + 1 / 2 + 1 / 4 + +1/2^n
=1*(1-(1/2)^(n+1))/(1-(1/2))
=2*(1-(1/2)^(n+1))
When n - > infinity, (1 / 2) ^ (n + 1) = 0
∴lims=2
2. The original formula = LIM (1-1 / x ^ 2) / (x ^ 2 + 3) (1 + 1 / x ^ 2)
=lim1/(x^2+3)
=0

Elden Ring Premiere

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