We have detected that Javascript is not enabled in your browser. The dynamic nature of our site means that Javascript must be enabled to function properly. Please read our terms and conditions for more information.

Next up

1º Lista de exercícios - Limites

Professor José

2º Lista de exercícios - Limites

Description

Agora vamos para a nossa 2º Lista de exercícios sobre Limites. Bons estudos!

Quiz by Professor José, updated more than 1 year ago

	Created by Professor José about 10 years ago

152

6

(0)

Resource summary

Question 1

Question

Observe o gráfico de f e marque as alternativas corretas.

Image:

594d6449-ec28-4a18-afab-233b93d56b13 (image/png)

Answer

$\displaystyle\lim_{x \to -2} f(x)=3$
$\displaystyle\lim_{x \to 2^+} f(x)=0$
$\displaystyle\lim_{x \to 0^+} f(x)=2$
$\displaystyle\lim_{x \to -2^+} f(x)=0$
$\displaystyle\lim_{x \to 2} f(x)= \nexists$
$\displaystyle\lim_{x \to -2^-} f(x)=3$
$\displaystyle\lim_{x \to -2} f(x)= \nexists$

Question 2

Question

Seja f uma função tal que f(x) = 3x+2, x

$\in \mathbb{R}$ . Se

$\displaystyle\lim_{x \to 1} f(x) = 5$ ,

$\\$ encontre um

$\delta$ para

$\epsilon$ =0,01, tal que 0 <

$\mid$ x-1

$\mid$ <

$\delta$

$\rightarrow$

$\mid$ f(x)-5

$\mid$ < 0,01.

Answer

0< $\delta$ <0,01
0< $\delta$ < $\frac{0,01}{5}$
0< $\delta$ < $\frac{0,01}{3}$
0< $\delta$ < $\frac{1}{5}$

Question 3

Question

Dada f(x) =

$\frac{\mid x \mid}{x}$ . O que podemos afirmar sobre

$\displaystyle\lim_{x \to 0} f(x)$ ?

Answer

$\displaystyle\lim_{x \to 0^+} f(x)=0$
$\displaystyle\lim_{x \to 0^-} f(x)=-1$
$\displaystyle\lim_{x \to 0^+} f(x)=1$
$\displaystyle\lim_{x \to 0} f(x)= \nexists$

Question 4

Question

Encontre

$\displaystyle\lim_{x \to 1} f(x)$ , sabendo que:

$f(x) = \left\{\begin{array}{rll} 3x-2 & \hbox{se} & x>1 \\ 2 & \hbox{se} & x=0 \\ 4x+1 & \hbox{se} & x<1 \end{array}\right.$

Answer

$\displaystyle\lim_{x \to 1} f(x)=1$
$\displaystyle\lim_{x \to 1} f(x)=5$
$\displaystyle\lim_{x \to 1} f(x)=2$
$\displaystyle\lim_{x \to 1} f(x)= \nexists$

Show full summary Hide full summary

0 comments

There are no comments, be the first and leave one below:

To join the discussion, please sign up for a new account or log in with your existing account.

Want to create your own Quizzes for free with GoConqr? Learn more.

Similar

1º Lista de exercícios - Derivadas

Professor José

3º Lista de exercícios - Limites

Professor José

Cálculo

GoConqr suporte .

LIMITE

Letícia Diniz

DERIVADA

Letícia Diniz

DESAFIO - Limites

Professor José

2º Lista de exercícios - Derivadas

Professor José

5º Lista de exercícios - Limites

Professor José

Apresentação da disciplina - Estatística para Gestores

Jéssica Meireles

Contextualização Aula 01- Probabilidade e Estatística

Jéssica Meireles