Question

(DESAFIO) Resolva o limite

OBS; Quaisquer brincadeiras ou respostas incorretas serão reportadas.

Answer 1

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$\huge\boxed{\sf{\underline{exist\hat encia~e~unicidade~do~limite}}}$

$\sf~o~limite~da~func_{\!\!,}\tilde ao~existe~se~e~somente~se\\\sf os~limites~laterais~existem~e~s\tilde ao~iguais.\\\sf\underline{matematicamente:}\\\displaystyle\lim_{x \to a}f(x)~~\exists\Longleftrightarrow\exists\lim_{x \to a^{+}}f(x),\exists\lim_{x \to a^{-}}f(x)~e~\lim_{x \to a^{+}}f(x)=\lim_{x \to a^{-}}f(x)$

$\sf\displaystyle\lim_{x \to 4^{+}}f(x)=2\\\displaystyle\lim_{x \to 4^{-}}f(x)=2\\\sf como\displaystyle\lim_{x \to 4^{+}}f(x)=\lim_{x \to 4^{-}}f(x)~ent\tilde ao\\\huge\boxed{\boxed{\boxed{\boxed{\displaystyle\sf{\lim_{x \to 4}f(x)=4\checkmark}}}}}$