2. If zr(cos0+ i sin 0), express the function in the form of u(r, 0)+ iv(r,...

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2. If zr(cos0+ i sin 0), express the function in the form of u(r, 0)+ iv(r, 0). 3. Given (a) Evaluate f(2+i). (b) Evaluate f(2)=(z) 5+ 3iz |2|2 f(2)= Rez' -3i, is continous at z = i. along the real axis and along the line y = x. Does the limit exist? (c) Is f(z) continous at z = 0? lim f(z) 2-0 4. Explain why the L'Hopital's rule is applicable to evaluate the limit 10+1 lim 2+1 26 +1 Hence evaluate the limit and determine whether the function F(z) = if = 0, if z = 0, 10+1 26 +1 -5i, if z #i, if z = i, 2. If zr(cos0+ i sin 0), express the function in the form of u(r, 0)+ iv(r, 0). 3. Given (a) Evaluate f(2+i). (b) Evaluate f(2)=(z) 5+ 3iz |2|2 f(2)= Rez' -3i, is continous at z = i. along the real axis and along the line y = x. Does the limit exist? (c) Is f(z) continous at z = 0? lim f(z) 2-0 4. Explain why the L'Hopital's rule is applicable to evaluate the limit 10+1 lim 2+1 26 +1 Hence evaluate the limit and determine whether the function F(z) = if = 0, if z = 0, 10+1 26 +1 -5i, if z #i, if z = i,