Find the following complex limits. lim_{nrightarrowinfty}frac{2n}{7n+ni}

vestirme4

vestirme4

Answered question

2020-12-16

Find the following complex limits. limn2n7n+ni

Answer & Explanation

Velsenw

Velsenw

Skilled2020-12-17Added 91 answers

limn2n7n+ni
2n7n+ni=2nn7n+nin
=27+i
Rationalize 27+i as
27+i=27+i7i7i
=2(7i)49i2
=2(7i)49+1
=2(7i)50
=7i25
Substitute 2n7n+ni=7i25 in limn2n7n+ni
limn2n7n+ni=limn7i25
=7i25
=725125i

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