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Functions, Graphs, and Limits

Functions, Graphs, and Limits

Example 1

Given that \lim_x\to2f(x) = 1,

find \lim_x\to23f(x) + 8x-4.

Example 2

Assuming the limit exists, find \lim_x\to3f(x)

given that \lim_x\to3(f(x) + 5) = 14.

Example 3

Find \lim_x\to5f(x),

given that this limit exists and \lim_x\to5(x-f(x)) = 12.

Example 4

Assuming that \lim_x\to 10f(x) exists and that

\lim_x\to 10(4x + 2-3f(x)) = 21,

find \lim_x\to 10f(x).

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