Calculus
posted by George on .
For f(x)=(3x^25x+2)/(2x^26) complete the statements.
f(x)>_________ as x>infinity
f(x)>_________ as x>infinity
In the blanks, I say for the first one infinity then infinity for the second one.

use an intuitive approach.
as x becomes "very large" your numerator is dominated by the 3x^2 term and your denominator is dominated by the 2x^2 term, the other terms become less and less significant as x gets bigger
so your function approaches f(x) = 3x^2/2x^2 = 3/2
so the limit is 3/2