Finding Limits Graphically and Numerically

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Section 1.2

• Finding Limits Graphically and Numerically

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Formal Definition of a Limit Let be a function
defined on an open interval containing a, except
possibly at , and let L be a real
number. The iff for any
number there exists a number
, such that IF is in the open interval
, THEN is in the open
interval .
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Limit can only exist if we can surround all the
y-values of a function inside a range of ys and
xs containing a.
L ?
L
L - ?
a
a ?
a ?
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1. Prove
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2. Prove
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3. Prove