(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Calculate [tex] lim{t-> + \infty} ( \frac{a^t + b^t)}{2}) ^ {1/t}[/tex]

2. Relevant equations

3. The attempt at a solution

[tex] lim _{t-> + \infty} ( \frac{a^t + b^t)}{2}) ^ {1/t} = lim_{t-> + \infty} ( a^t ( \frac{1 + b^t/a^t)}{2}) ^ {1/t} = lim_{t-> + \infty} ( a ( \frac{1 + (b/a)^t)}{2}) ^ {1/t} = lim_{t-> + \infty} ( a ( \frac{1 + (b/a)^t)^{1/t} }{2}) ^ {1/t}) = lim_{t-> + \infty} ( a ( {1 + (b/a)^t)^{1/t}=a [/tex]

Because 1\t aproacges 0 as t aproaches infinity.

Is this ok?

thanks

Tal

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Limit in parametric form

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