Find the limit of the sequence an n2 41nSolutionFirstly yo

Find the limit of the sequence: a_n = (n^2 + 4)^1/n.

Solution

Firstly you have not mentioned that within which value you want to find the limit of this sequence so I am giving you general steps to find limit of sequence.

try to expand this sequence first.

Keep on placing the values of n in the series for eg n=1,2,3,4...... place this values on a graph roughly you will find that the values would try to converge at one point.

for eg if you want to find the limit of given sequence tending to infinity than the limit would be 1. as the term (1/n ) would be (1/infinity) and it would become 0 so anything raise to 0 is 1.

similarly you can try to expand this sequence and try to find the converging value.