limit of function?

2015-11-29 5:29 am
find the limit of limx-->infinity ln(x^4-3)/lnxcos(1/x)

回答 (1)

2015-11-29 5:50 am
✔ 最佳答案
lim(x→∞)ln(x^4-3) = ln(x^4) = 4*ln(x)

lim(x→∞)ln(x)*cos(1/x) = ln(x)*cos(0) = ln(x)


=> lim(x→∞)ln(x^4-3)/ln(x)*cos(1/x) = 4*ln(x)/ln(x) = 4


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