1 вариант, фото хелп

Question

1 вариант, фото хелп

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Answer 1

Lim(x→5)  [(x-5)(3x-2)]/[(x-5)(3x-1)] =  lim(x→5) (3x-2)/(3x-1) = 13/14

lim(x→5)  (5-x)(3+√(2x-1))/(3-√)(3+√) =lim  (5-x)(3+√)/(10-2x) =
           = lim (x→5)  (3+√(2x-1))/2  = (3+3)/2 = 3

3)  lim{z→√3} (√(1+z²) -1)/3z² =  (√4 -1)/9 = 1/9

4)  lim{x→∞) 

Comments

4) [x^3*(2+1/x^2+1/x^3)]/[x^3*(2+1/x+1/x^3)] = ...+3/2=1,5

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5) x=2y; (1-1/y)^2y= [(1-1/y)^y]^2 = e^2