Exemplo 1. Considere os gráficos de f(x) e g(x) abaixo
f(x)
g(x)
Responda
a) Calcule f(-2), f(2) e g(4)
b) Calcule limx→3−g(x) e limx→3+g(x)
c) Existe limx→3g(x)? Justifique.
d) A função g(x) é contínua em x = 3? Justifique.
e) Calcule limx→2−f(x) e limx→2+f(x)
f) Existe limx→2f(x)? Justifique.
g) A função f(x) é contínua em x = 2? Justifique.
h) Calcule limx→1−f(x) e limx→1+f(x)
i) Existe limx→1f(x)? Justifique.
j) A função f(x) é contínua em x = 1? Justifique.
k) Calcule limx→−2[3f(x)+g(x)]
![Exemplo 1. Considere os gráficos de f(x) e g(x) abaixo
f(x)
g(x)
Responda
a) Calcule f(-2), f(2) e g(4)
b) Calcule $\lim_{x\to 3^-} g(x)$ e $\lim_{x\to 3^+} g(x)$
c) Existe $\lim_{x\to 3} g(x)$? Justifique.
d) A função g(x) é contínua em x = 3? Justifique.
e) Calcule $\lim_{x\to 2^-} f(x)$ e $\lim_{x\to 2^+} f(x)$
f) Existe $\lim_{x\to 2} f(x)$? Justifique.
g) A função f(x) é contínua em x = 2? Justifique.
h) Calcule $\lim_{x\to 1^-} f(x)$ e $\lim_{x\to 1^+} f(x)$
i) Existe $\lim_{x\to 1} f(x)$? Justifique.
j) A função f(x) é contínua em x = 1? Justifique.
k) Calcule $\lim_{x\to -2} [3f(x) + g(x)]$](https://prod-meuguru-guruia-assets.s3.sa-east-1.amazonaws.com/xnWdJvzghR7xf3B-69bQA3n4J?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=ASIAQXTC4KK6SVPEFL5Q%2F20250703%2Fsa-east-1%2Fs3%2Faws4_request&X-Amz-Date=20250703T054746Z&X-Amz-Expires=900&X-Amz-Security-Token=IQoJb3JpZ2luX2VjEAMaCXNhLWVhc3QtMSJHMEUCIFbynrYrM4%2BXzCvqqlYPcGmdwtPDL49kIa1xqbDVnKxYAiEAjqTnh%2FBWdVjLU1tNQKn%2F0us1%2FCNhqdFUTcZILBMcwC0q7gMI%2FP%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARACGgwwNTA2NzMyNDI4MTMiDMebBKRvrfnfeuU16CrCAw4O0GCIq%2F15GLHfDU3FAeIUNrMSunZgHzKRbzqIzEDPx46wg1ZcNOEPbJ2PVYzBJ5IlFUCPnfFmD%2BwSmWH8Lnsog39qgnei1qUYLn3CRU1SFeDIHf3YG4g3JIXlWu7kpuTX2r72BhqsPQb7ag4k0zsIV0vxuHFUEwWqjTrTcjmCXuMXZ7VYUKvDV8d9OeugBIKHmIGWONkfT04Q5xQDnceF0Yb0LiBAmtmgOH5oznMVlAldRGNZAep0p3eDBBvXP4xSCp97BRhlJ5dyVyMIr2jLF4NRhocWW%2F9sE05lZjpONWMiHFXe0jx0Gvu6LdJiSiPYBBjRa%2FDun4ONMbpVyiMA6RFDMUTQUVTLuNz4LJeGeU8yutkmIHXFkWjFLh1jx3FeUenUjVoK5rpmph5BkSmzyQnPN8eTC8G1tMxyywI6qvV6w9UMfHQAE1BCBHPFOZ2ICZ0iiG9Bg4rZ0WPenO0o4yqzRkOGzV2%2BTngtNS5cXbIJg%2B551%2FlLzvzJhVl4ENPdKhGh%2FPaLY%2BDbPCIcUsfdF6IqLRqFspxfEThfXWCjvPRsAJTMPa9kocuuYkOa%2BAdNZZ75rWhTtpekx78Pu4C7yjDZ1pfDBjqlAZq6fuVqbTVmL5rY61snp%2BvgKJOupN5BZMdt0mUdTEczn4VCWIjF%2BC%2BR2g2g43k0Sb2rngsU60WbSKT1rlyh8eBFBgX1ZrJWtEDUo0a7vWGazw6fUXYH2qs9XPKTvUQxrs3i88R2XCGnG5oCEBDe1QRVOFYQD7VdqDvTMiB322hwMH0iiDUD3YCqFdst7UbR1yazkhWP%2B4EPkX3uilKXpgPKz9PR3w%3D%3D&X-Amz-Signature=f3a9cbb4f84007c406e8a0651c1e3b1a77798da113054994bd326aca591acbfc&X-Amz-SignedHeaders=host&x-id=GetObject)
