What is the limit as x approaches 4 of 1/(4^2-x^2) ?

The limit as x approaches 4 of 1/(4^2-x^2) is diverges

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limit as x approaches 4 of 1/(4^2-x^2)

x \to 4 lim (\frac{1}{4 ^{2} - x ^{2}})

diverges

Solution steps

x \to 4 lim (\frac{1}{4 ^{2} - x ^{2}})

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

then the limit does not exist

x \to 4 + lim (\frac{1}{4 ^{2} - x ^{2}}) = - \infty

x \to 4 - lim (\frac{1}{4 ^{2} - x ^{2}}) = \infty

= diverges

x \to - \frac{1}{3} lim (\frac{6 x ^{3}}{2})

x \to 2 lim (2 x^{2} + 3 x + 1)

x \to - 2 - lim (ln (x^{2} + 2 x))

x \to 2 lim (\frac{3 x - 4}{x - 4})

x \to - 2 lim (- 3 x + 1)

What is the limit as x approaches 4 of 1/(4^2-x^2) ?
The limit as x approaches 4 of 1/(4^2-x^2) is diverges