3.5. Limits at Infinity http://www.ck12.org
MEDIA
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Review Questions
- Use your graphing calculator to estimate limx→+∞[x[ln(x+ 3 )−ln(x)]].
- Use your graphing calculator to estimate limx→+∞ln( 1 +x 2 ex).
In problems #3–10, use L’Hospital’s Rule to compute the limits, if they exist.
- limx→ 3 xx^2 −− 39
- limx→ 0
√ 1 +x−√ 1 −x
x
- limx→+∞ln√(xx)
- limx→+∞x^2 e−^2 x
- limx→ 0 ( 1 −x)^1 x
- limx→ 0 ex−x^12 −x
- limx→−∞ex−x^12 −x
- limx→∞x−^14 ln(x)