What is the limit as x approaches 4 of |x|-3^x ?

The limit as x approaches 4 of |x|-3^x is -77

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limit as x approaches 4 of |x|-3^x

x \to 4 lim (∣ x ∣ - 3^{x})

- 77

Solution steps

x \to 4 lim (∣ x ∣ - 3^{x})

Plug in the value

x = 4

= ∣ 4 ∣ - 3^{4}

Simplify

∣ 4 ∣ - 3^{4} : - 77

= - 77

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What is the limit as x approaches 4 of |x|-3^x ?
The limit as x approaches 4 of |x|-3^x is -77