1 | initial version |
To show that the limit is complex infinity it is sufficient to show that the modulus goes to infinity
y=var('y',domain='real')
limit(cos(x+I*y).abs(),y=+oo,algorithm='sympy')
+Infinity
2 | No.2 Revision |
To show that the limit is complex infinity it is sufficient to show that the modulus goes to infinity
y=var('y',domain='real')
limit(cos(x+I*y).abs(),y=+oo,algorithm='sympy')
+Infinity
Note that |cos(x+I*y)|^2=cos^2(x)+sinh^2(y).