(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex]

\begin{align*}

f(t) = \lim_{k \to \infty} f_k(t) = \lim_{k \to \infty} \frac{1 - kt^2}{1 +

kt^2} = \lim_{k \to \infty} \frac{\frac{1}{k} - t^2}{\frac{1}{k} +

t^2} = \frac{0 - t^2}{0 + t^2} = - \frac{t^2}{t^2}

\end{align*}

[/tex]

What is the value of limit function [tex]f[/tex] when [tex]t = 0[/tex]? Is it [tex]0[/tex] or [tex]-1[/tex] or undefined? What is the reasoning behind it?

Does anyone know any good websites or books to catch up on these material?

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Basic limit question

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