(x^(5/2) + 2x^2)/(1+x^3)

Question

when x aproaching infinity

 

Answer 1

lim_x→∞ [(x^5/2+2x²⁾/(1+x³)] has the form ∞/∞

 

Divide the numerator and denominator by x³, the highest power of x that appears in the denominator to obtain:

 

lim_x→∞ [(1/√x + 2/x)/(1/x³+1)] = (0+0)/(0+1) = 0/1 = 0