Math / Calculus

QuestionFind the limit as $x$ approaches 4 for the piecewise function $f(x)$ defined as: $f(x) = -7x + 46$ if $x < 4$ , $12$ if $x = 4$ , $2x^2 - 14$ if $x > 4$ . What is $\lim_{x \rightarrow 4} f(x)$ ?

Studdy Solution
Compare the left-hand limit and the right-hand limit.
$\lim{{x \to4^-}} f(x) = \lim{{x \to4^+}} f(x) =18$ The limit of $f(x)$ as $x$ approaches4 is18.

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