Complex Variables and Partial Differential Equations (3130005)

BE | Semester-3   Summer-2020 | 27-10-2020

Q2) (c(ii))

Find the radius of convergence of 1 1+1nn2 zn .

Here, an = 1+1nn2
 
an1n = 1+1nn
 
Now, R = limn 1an1n
 
R =  1limnan1n
 
R =  1limn1+1nn
 
R =  1e            limn1+1nn = e