Techniques for Computing Limits 2.3

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Techniques for Computing Limits 2.3

• Calculus 1

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Limit Laws
The limit of a constant IS the constant.
No matter what x approaches
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Theorem 2.3 (1)
The limit of a sum is the sum of the limits.
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Theorem 2.3 (2)
The limit of a difference is the difference of
the limits.
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Theorem 2.3 (3)
The limit of a constant times a function is the
constant times the limit of the function.
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Theorem 2.3 (4)
The limit of a product is the product of the
limits.
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Theorem 2.3 (5)
The limit of a quotient is the quotient of the
limits.
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Theorem 2.3 (6)
The limit of a function raised to a power is
the limit of the function raised to the power.
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Theorem 2.3 (7)
The limit of a function raised to a fractional
power is the limit of the function raised to
the fractional power.
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Other Techniques
Factor and simplify
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Sometimes when you have radicals you need to
multiply by the conjugate of the numerator or
denominator.
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Squeeze TheoremPinching TheoremSandwich Theorem
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Piecewise
If x lt -1 If x -1