Math  /  Calculus

Questionf(x)=x213x+36x4f(x)=\frac{x^{2}-13 x+36}{x-4} (a) Explain why ff has a removable discontinuity at x=4x=4. (Select all that apply.) f(4)f(4) is undefined. f(4)f(4) and limx4f(x)\lim _{x \rightarrow 4} f(x) are finite, but are not equal. limx4f(x)\lim _{x \rightarrow 4} f(x) does not exists. limx4f(x)\lim _{x \rightarrow 4} f(x) is finite. none of the above

Studdy Solution
Analyze the information to conclude about the removable discontinuity.
1. f(4) f(4) is undefined.
2. limx4f(x) \lim_{x \to 4} f(x) exists and is finite.

Therefore, f(x) f(x) has a removable discontinuity at x=4 x = 4 .
Solution: The correct options are: - f(4) f(4) is undefined. - limx4f(x) \lim_{x \to 4} f(x) is finite.

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