What is the limit as x approaches 7 of (4x)/(x-7) ?

The limit as x approaches 7 of (4x)/(x-7) is diverges

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limit as x approaches 7 of (4x)/(x-7)

x \to 7 lim (\frac{4 x}{x - 7})

diverges

Solution steps

x \to 7 lim (\frac{4 x}{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{4 x}{x - 7}) = \infty

x \to 7 - lim (\frac{4 x}{x - 7}) = - \infty

= diverges

x \to - 2 + lim (tan (\frac{π x}{4}))

x \to - 1 lim (2 - x^{2})

x \to 0 + lim (1^{\frac{1}{x}})

x \to 0 lim (- \frac{1}{2 x ^{2}})

x \to 0 lim (\frac{7 x ^{0} e ^{x^{2}}}{4 x ^{2} + 2 \cdot 0 ^{2}})

What is the limit as x approaches 7 of (4x)/(x-7) ?
The limit as x approaches 7 of (4x)/(x-7) is diverges