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The graph of the the function f(x) is given below.

Find
[tex]\lim_{x \to 0\zero} f(x)[/tex]
[tex]\lim_{x \to 1+\oneplus} f(x)[/tex]
[tex]\lim_{x \to 0-\zeroneg} f(x)[/tex]

The graph of the the function fx is given below Find texlimx to 0zero fxtex texlimx to 1oneplus fxtex texlimx to 0zeroneg fxtex class=

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sqdancefan

Answer:

  • dne
  • 1
  • -4

Step-by-step explanation:

1. As x approaches zero from the right, the line representing f(x) approaches 0. As x approaches zero from the left, the line representing f(x) approaches -4 (this is the answer to the 3rd part). These two limits are different, so the limit as x approaches zero is said to be "does not exist."

2. The line representing f(x) approaches 1 as x approaches 1 from the right. The limit is 1.

3. See 1. above. The limit is -4.

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