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Function Limits V: Properties of Function Limits
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Lesson Summary:
We list here important properties of function limits.
Lesson Inputs:
Function Limits III: The Gory Details
Lesson Outputs:
Properties of Continuous Functions
GAIN AN ADVANTAGE
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Lesson Specific Problems
Determine \begin{equation}\lim_{x\to 0}\,\frac{x^2(1+x)}{2x}.\end{equation}
Determine \begin{equation}\lim_{x\to 1}\,\frac{x}{x+1}.\end{equation}
Pinching Theorem of Function Limits
Prove that \begin{equation}\lim_{x\to a}\,\frac{1}{f(x)}=\frac{1}{L}.\end{equation}
Prove that function limits are unique.
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