Find L=lim_(n rightarrow infty)(4n+1)/(2n+1). then determine epsilon_n = L-x_n and find lim_(nrightarrow infty) epsilon_n

Question

Find

L = lim_{n \to \infty} \frac{4 n + 1}{2 n + 1}

. then determine

ϵ_{n} = L - x_{n}

and find

lim_{n \to \infty} ϵ_{n}

.

Answer 1

find

= 4 / 2 \Rightarrow L = 2

then determine

ϵ_{n} = \frac{1}{2} - x_{n}

and find

= lim_{n \to \infty} 2 - lim_{n \to \infty} x_{n} = 2 - lim_{n \to \infty} x_{n}

Answers (1)