Asked by ashley
I'm studying for the AP exam and I can't figure this problem out.
I thought the answer was negative infinity but that isn't an option. Thank you in advance!
What is the limit as x approaches infinity of (9x-x^2-7x^4)/(x^3+12x)?
a. 9
b. 7
c. -7/12
d. -7
e. Does not exist
I thought the answer was negative infinity but that isn't an option. Thank you in advance!
What is the limit as x approaches infinity of (9x-x^2-7x^4)/(x^3+12x)?
a. 9
b. 7
c. -7/12
d. -7
e. Does not exist
Answers
Answered by
Reiny
since the power of the numerator is one degree higher than that of the denominator we get
y = (9x-x^2-7x^4)/(x^3+12x) = -7x + ??
so as x gets bigger, y gets bigger, so the limit is undefined, (approaches negative infinity, or we can say the limit does not exist
y = (9x-x^2-7x^4)/(x^3+12x) = -7x + ??
so as x gets bigger, y gets bigger, so the limit is undefined, (approaches negative infinity, or we can say the limit does not exist
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