Find the following complex limits. lim_{nrightarrowinfty}frac{1}{3+ni}

texelaare 2021-02-03 Answered
Find the following complex limits. limn13+ni
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Expert Answer

Viktor Wiley
Answered 2021-02-04 Author has 84 answers
limn13+ni
Rationalize 13+ni as
13+ni=13+ni3ni3ni
=3ni32n2i2
Substitute i2=1 and solve further
13+ni=3ni32+n2
=3nin232+n2n2
=3n21ni32n2+1
Substitute
13+ni=3n21ni32n2+1
Hence
limn13+ni=limn3n21ni32n2+1
=(00i)(0+1)
=0
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