Section 2.2
Section 2.2
2.2 Limits of a function.
2.3 Calculating limits using limit laws.
2.5 Continuity.
2.6 Limits at infinity; Horizontal asymptotes.
2.7 Derivatives and rate of change.
2.8 The derivative as a function.
Section 2.2
Let’s investigate the behavior of the function f defined by
f (x) = x2 – x + 2 for values of x near 2.
The following table gives values of f (x) for values of x close to 2
but not equal to 2.
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Section 2.2
"x is near a"
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The graph of a function g is shown in the Figure. Use it to state the
values (if they exist) of the following:
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The symbol limx→a f (x) = – ∞ can be read as “the limit of f (x), as x
approaches a, is negative infinity” or “f (x) decreases without bound as x
approaches a.”
Section 2.2
Similar definitions can be given for the one­sided infinite limits
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