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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

x \to 1 lim (\frac{1}{2 x})

x \to - 2 l n (2) lim (x^{10})

t \to 0 lim (t (v (t)))

x \to 0 lim (2 - \frac{sin ( 4 x )}{x})

n \to \infty lim (- 2 n + 5)

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