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The september 13, 2006 math 131 exam focusing on limits, graphical analysis, and discontinuities. Students are required to find limits using numerical or graphical evidence, compute limits, sketch graphs, and identify discontinuities. Questions include finding limits of trigonometric functions, polynomial functions, and evaluating limits at infinity.
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Math 131 September 13, 2006
Name
You must show all your work. Partial credit will be given.
(a) lim x→π
sin (x) x − π
(b) lim x→ 0
x sin
x
(c) lim x→− 1
|x + 1| x^2 − 1
(a) lim x→ 1
x^2 + x − 2 x^2 − 3 x + 2
(b) lim x→ 0
sin (x) tan (x)
(c) lim x→ 4
x − 2 x − 4
(d) lim x→ π 2
e−^ tan (x)
(e) lim x→inf ty
3 x^2 − 1 5 x^2 − 3 x + 2
1
2
3
4
5
-5 -4 -3 -2 -1 1 2 3 4 5
f (x) =
f (x) =
f (x) =
f (x) =
