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Functions, Graphs, and Limits

Functions, Graphs, and Limits

Example 1

Assume that \lim_x\to3g(x) exists, \lim_x\to3f(x) = 7, and \lim_x\to3(f(x)g(x)) = 28.

Find \lim_x\to3g(x).

Example 2

Assume that \lim_x\to2g(x) exists, \lim_x\to2f(x) = 7, and \lim_x\to2(xf(x)g(x)) = 28.

Find \lim_x\to2g(x).

Example 3

Assume that \lim_x\to1f(x) exists, \lim_x\to1g(x) = 5, and \lim_x\to1( \frac2f(x)g(x)) = 10.

Find \lim_x\to1f(x).

Example 4

Assume that \lim_x\to4f(x) exists and \lim_x\to4( \fracxf(x) + 203xf(x)) = 3.

Find \lim_x\to4f(x).

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