lim as x--> infiniti of (x^2 (1+√x)) / ((sin2x)(1-e^-x))?
that check mark is a square root sign..hehe
thanks for your help!!!
Update:oh no i meant as x approaches 0 form the right side..not limit as x approaches infiniti. THANKS!
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♣ sin2x = 2x +o(x), exp(-x) =1-x +o(x);
sin2x * (1-exp(-x)) =
= (2x +o(x))*(1-1 +x +o(x)) =
= 2x^2 +o(x^2);
y=x^2 *(1 +√x)/ (2x^2 +o(x^2)) → x^2 /(2x^2) = 1/2; hehe