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Serhud [2]
2 years ago
9

Find the value of k such that lim-->4 (x^2+x-k)/(x-4) exists

Mathematics
1 answer:
7nadin3 [17]2 years ago
6 0

Answer:

k=20

Step-by-step explanation:

when x approaches 4, the denominator x-4 approaches 0

if the denominator is 0, it means that this is invalid

if the function is a number over 0 when x=4, it represents a vertical asymptote, which means no limit

so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4

so x^2 + x - k = 0 when x = 4

4^2 + 4 - k = 0 ==> 20 - k = 0 ==> k = 20

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