Question

What is the limit of the sequence tan(2*n*pi/1+8*n). Thank You :)

Answer 1

Could you please format the question more better using latex / appropriate parenthesis ? :)

Answer 2

\[a _{n}=\tan (\frac{ 2n \pi }{ 1+ 8n })\]

Answer 3

factor out "n" from the denominator,
cancel it with the numerator "n"
then take the limit

Answer 4

\[\large \lim\limits_{n\to\infty}a _{n}= \lim\limits_{n\to\infty}\tan \left(\frac{ 2n \pi }{ n\left[\frac{1}{n}+ 8\right]}\right)\]

Answer 5

\[\large = \lim\limits_{n\to\infty}\tan \left(\frac{ 2 \pi }{ \frac{1}{n}+ 8}\right)\]

Answer 6

take the limit