Lim x->0 1-cos8x / 3x^2 Lim x-> бесконечность ( x-1 \ x) ^2-3x Limx->бесконечность (2x+3 \ 5x+7)^x+1
X→0 ; cosx→ 1 - x²/2 ⇒ lim x→0 (1- cos8x)/3x² = lim (1-1+(8x)²/3x² = lim (64x²/2)/3x² = = 32/3 = 10' 2/3 lim n→∞ (1+1/n)^n = e lim x→∞ (1 - 1/x)^(2-3x) ={ lim (1-1/y)^2] / {[lim (1-1/x)^x]³ = = 1/(1/e)³ = e3 lim x→∞ [(2+3/x)/(5+7/x)]^(x+1) = 2/5