lim x - ∞ (1 + 1/(2x ^ 2)) ^ (2x) - Dicamon

Question

lim x -> ∞ (1 + 1/(2x ^ 2)) ^ (2x)

Answer

I=lim x infty (1+ 1 2x^ 2 )^ 2x =sim x infty 2x+ln(1+ 1 2x^ 2 ); lim x x 2x.ln(1+ 1 2x^ 2 )=lim x 0 2x. 1 2x^ 2; - lim x -> ∞ 1/x = 0 xét 10 I = e ^ 0 = 1 15

Answer

=lim x- infty (1+ 1 2x^ 2 )^ 2x ( lim e ( 1+ ) 1 x Rightarrow 1 2x^ 2 0 Theta Rightarrow1+ 1 2x^ 2 1; -e^ alpha x ln(1+ 1 d N ) 0 lim (1+ 1 2x )= 1; x - 10 ^ varphi

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