Question

The limit of the function f(x) = [1-$\frac{a^4}{x^4}$] as x $\to$ $\infty$ is given by

• A. 1
• B. exp$[-a^4]$
• C. $\infty$
• D. Zero

Answer 1

The correct option is A 1

${lim}_{x\to \infty }f\left(x\right)={lim}_{x\to \infty }[1-\frac{a^4}{x^4}]$

= $1-\frac{a^4}{\left(\infty \right)}=1-0=1$