What is the limit as x approaches 2 of sqrt(x^4-8) ?

The limit as x approaches 2 of sqrt(x^4-8) is 2sqrt(2)

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limit as x approaches 2 of sqrt(x^4-8)

x \to 2 lim (x^{4} - 8)

22

Decimal Notation

2.82842 \dots

Solution steps

x \to 2 lim (x^{4} - 8)

Plug in the value

x = 2

= 2^{4} - 8

Simplify

2^{4} - 8 : 22

= 22

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What is the limit as x approaches 2 of sqrt(x^4-8) ?
The limit as x approaches 2 of sqrt(x^4-8) is 2sqrt(2)