What is the limit as x approaches 4 of (x^{q(x)}(4-x))/(e^{4-x)-1} ?

The limit as x approaches 4 of (x^{q(x)}(4-x))/(e^{4-x)-1} is Undefined

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limit as x approaches 4 of (x^{q(x)}(4-x))/(e^{4-x)-1}

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

Undefined

Solution steps

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

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

then

x \to a lim f (x) = L

x \to 4 - lim (\frac{x ^{q (x)} ( 4 - x )}{e ^{4 - x} - 1}) =

Undefined

x \to 4 + lim (\frac{x ^{q (x)} ( 4 - x )}{e ^{4 - x} - 1}) =

Undefined

= Undefined

What is the limit as x approaches 4 of (x^{q(x)}(4-x))/(e^{4-x)-1} ?
The limit as x approaches 4 of (x^{q(x)}(4-x))/(e^{4-x)-1} is Undefined