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

vestirme4 2020-12-16 Answered
Find the following complex limits. limn2n7n+ni
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Expert Answer

Velsenw
Answered 2020-12-17 Author has 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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