baldymcgee6
Find the value of this limit:



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sudharsa
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tell me the question please

baldymcgee6
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\[\lim_{x \rightarrow 8} \frac{ (x^\frac{ 2 }{ 3 }  4) }{ (x^\frac{ 1 }{ 3 }  2) }\]

sudharsa
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can u attach it with clear pls

baldymcgee6
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attach it with what? @sudharsa


across
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Hint: factor the numerator.

baldymcgee6
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how do we factor it? what do we take out?

baldymcgee6
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@across ?

across
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The numerator has the form \(a^2b^2=(a+b)(ab)\).

sudharsa
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dvide numerator and denominator by x^1/3 yeah

across
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You don't have to divide, @sudharsa.

sudharsa
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ok ur also goog idea that mke it simple

sudharsa
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across is good then answer is simple yeah

baldymcgee6
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but what is sqrt(x^2/3)

sudharsa
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if x= 8 then cubic root of it will be 2 then proceed yeah

baldymcgee6
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@across I don't understand how to factor the numberator..

across
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If you let \(u=x^{1/3}\), then your numerator will become \(u^24\). Can you factor that?

baldymcgee6
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its x^(2/3), but nonetheless, (u+2)(u2)

across
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You have to let \(u=x^{1/3}\) because then \(u^2=x^{2/3}\)... now resubstitute and solve your exercise.

baldymcgee6
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okay thank you.