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1.2 Finding Limits Numerically. Limits. A function f(x) has a limit L as x approaches as c if we can get f(x) as close to c as possible but not equal to c. x is very close to, not necessarily at, a certain number c NOTATION:. 3 Ways to find Limits.
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Limits • A function f(x) has a limit L as x approaches as c if we can get f(x) as close to c as possible but not equal to c. x is very close to, not necessarily at, a certain number c NOTATION:
3 Ways to find Limits • Numerically - construct a table of values and move arbitrarily close to c • Graphically - exam the behavior of graph close to the c • Analytically
2 1) Given , find 3.61 3.9601 3.996001 3.99960001 4 2 4.004001 4.0401 4.41 4.00040001 4
1 2) Given , find 2.710 2.9701 2.997001 2.99970001 3 1 3.003001 3.0301 3.31 3.00030001 3
HOMEWORK Page 54 # 3-10 numerically