Question

Limit f(x), where f(x)= {x^2+2, x does not equal 1}
x->1 {1, x=1}

Answer 1

\[\lim_{x\to 1}f(x), \text{ where}\\
f(x)=\begin{cases}x^2+2&\text{if $x\not=1$}\\
1&\text{$x=1$}\end{cases}\]

What are
\[\lim_{x\to 1^-}x^2+2\\\lim_{x\to 1^+}x^2+2?\]

Answer 2

i mean 3

Answer 3

Right. So the limit as x approaches 1 of f(x) is 3.

Answer 4

Since both one-sided limits are equal.

Answer 5

thanks!