lim x->infinity of (x^3)/ (lnx)
= infinity/infinity
= indeterminate
Use L'Hopital's Rule
Take derivative of numerator and denominator.
= lim x->infinity of (3x^2)/ (1/x)
= lim x->infinity of (3x^3)
= infinity
The answer is (D.) Does Not Exist.
Emmanuel A.
asked 12/31/20lim x→∞ x3/ ln(x)
A. 3x
B. 3
C. 3x3
D. Does not exist.
lim x->infinity of (x^3)/ (lnx)
= infinity/infinity
= indeterminate
Use L'Hopital's Rule
Take derivative of numerator and denominator.
= lim x->infinity of (3x^2)/ (1/x)
= lim x->infinity of (3x^3)
= infinity
The answer is (D.) Does Not Exist.
Val K. answered 12/31/20
Perfect scores on both Calc AB and Calc BC AP exams
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