http://www.ck12.org Chapter 1. Functions, Limits, and Continuity
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URL: http://www.ck12.org/flx/render/embeddedobject/528For a video on determining limits of trigonometric functions(1.2)(1.3), see Math Video Tutorials by James Sousa,
Determining Limits that Involve Trigonometric Functions (7:20).
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URL: http://www.ck12.org/flx/render/embeddedobject/529Review Questions
Find each of the following limits if they exist.
- limx→ 2 (x^2 − 3 x+ 4 )
- limx→ 4 x^2 x−−^164
- limx→ 4
√x− 2
x− 4
limx→− 1 xx−+^21
limx→− (^1103) xx+− 12
limx→ 1
√x+ 3 − 2
x− 1
limx→ (^5) xx (^32) −− 12525
Consider functionf(x)such that 5x− 11 ≤f(x)≤x^2 − 4 x+9 forx≥ 0 .Use the Squeeze Theorem to find
limx→ 5 f(x).
Use the Squeeze Theorem to show that limx→ 0 x^4 sin(^1 x) = 0