TIFR ECE 2018 | Question: 3

Question

Let $\lim _{n \rightarrow \infty} f(n)=\infty$ and $\lim _{n \rightarrow \infty} g(n)=\infty$. Then which of the following is necessarily $\text{TRUE.}$

• A. $\lim _{n \rightarrow \infty}|f(n)-g(n)|=\infty$
• B. $\lim _{n \rightarrow \infty}|f(n)-g(n)|=0$
• C. $\lim _{n \rightarrow \infty}|f(n) / g(n)|=\infty$
• D. $\lim _{n \rightarrow \infty}|f(n) / g(n)|=1$
• E. None of the above