What is the limit as x approaches 7 of 6/(x-7) ?

The limit as x approaches 7 of 6/(x-7) is diverges

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limit as x approaches 7 of 6/(x-7)

x \to 7 lim (\frac{6}{x - 7})

diverges

Solution steps

x \to 7 lim (\frac{6}{x - 7})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 7 + lim (\frac{6}{x - 7}) = \infty

x \to 7 - lim (\frac{6}{x - 7}) = - \infty

= diverges

y^{^{'''}} + 5 y^{^{''}} + 4 y^{^{'}} - 10 y = 0

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What is the limit as x approaches 7 of 6/(x-7) ?
The limit as x approaches 7 of 6/(x-7) is diverges