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Limit Some Questions on Infinity. Please help.

Limit Some Questions on Infinity. Please help.

Greetings all,

Could you help me to tackle to following questions that I don't know how to evaluate.


Please help.
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44a. 用-x代走x,然後將limit既negative infinity轉positive infinity,再用lim(2^-x) = 0 and lim(3^-x) = 0去計。答案是1/3。
b. 分子分母乘以2^-x,將分數變成(3*2^-x + 1)/(1.5^x + 9*2^-x)。答案是0。

45.同44a一樣做法,答案是1。

46. 分子分母同時除以x^2,答案是(-1/2)ln2

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44. Divide top and bottom by 3^x.

45. Divide top and bottom by e^2x.

46. Apply log rule to remove the square root.
Then divide top and bottom of the fraction by x^2.

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how abt the ceciling? how can i know whenther they are continous or not?

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Compare f(a), the limit of f(x) as x->a+ and the limit of f(x) as x->a-.

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let's see and look if i can do anything

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thx:   :P :P :) :) :) :)

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