1 votes 1 votes Let $a_{n}=(n+1)^{100} e^{-\sqrt{n}}$ for $n \geq 1$. Then the sequence $(a_{n})_{n}$ is Unbounded Bounded but does not converge Bounded and converges to $1$ Bounded and converges to $0$ Set Theory & Algebra tifrmaths2014 convergence non-gate + – makhdoom ghaya asked Dec 14, 2015 edited Aug 18, 2020 by soujanyareddy13 makhdoom ghaya 456 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes Here we know that polynomial function are always less than exponential function so when n tends to infinity, sets tends to zero so option D is correct Atm Ravi answered Aug 13, 2020 Atm Ravi comment Share Follow See all 0 reply Please log in or register to add a comment.