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- Thread starter Muthumanimaran
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gleem

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I'm asking about the final step, How to get the final step from the second step?

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gleem

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HallsofIvy

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[tex]\lim_{n\to \infty} \frac{nz}{z+ n+ 1}[/tex]

Divide both numerator and denominator by n:

[tex]\lim_{n\to\infty}\frac{z}{\frac{z}{n}+ 1+ \frac{1}{n}}[/tex]

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gleem

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nz/(n+z+1) → nz/n in the limit n→∞

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[tex]\lim_{n\to \infty} \frac{nz}{z+ n+ 1}[/tex]

Divide both numerator and denominator by n:

[tex]\lim_{n\to\infty}\frac{z}{\frac{z}{n}+ 1+ \frac{1}{n}}[/tex]

Yeah that's what I asked for, Thank you!

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