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SAT Math Level 2 Subject Test Sample Question #19 [closed]

asked 2010-10-18 15:28:00 +0100

ccanonc gravatar image

updated 2011-05-12 23:55:05 +0100

Kelvin Li gravatar image

What is the limit of $f(x)$ as $x$ approaches infinity, for $f(x) = (4*3 + 3x) / (-12 + 2x)$ ?

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Closed for the following reason the question is answered, right answer was accepted by ccanonc
close date 2010-11-15 21:41:13

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Thanks for showing me how to do MathJax Evgeny!

ccanonc gravatar imageccanonc ( 2010-10-18 15:51:34 +0100 )edit

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answered 2010-10-18 17:03:04 +0100

sage: f(x)=(4*3+3*x)/(-12+2*x)
sage: f.limit(x=Infinity)
3/2

or

sage: g=(4*3+3*x)/(-12+2*x)
sage: g.limit(x=Infinity)
3/2

or with $f$ and $g$ defined as above,

sage: limit(f, x=Infinity)
3/2
sage: limit(f(x), x=Infinity)
3/2
sage: limit(g, x=Infinity)
3/2

You can also leave out the asterisks:

sage: implicit_multiplication(True)
sage: g=(12+3x)/(-12+2x)
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Asked: 2010-10-18 15:28:00 +0100

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Last updated: Oct 18 '10