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

The limit as x approaches sqrt(2) of x^4-1/2 is 7/2

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

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

\frac{7}{2}

Decimal Notation

3.5

Solution steps

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

Plug in the value

x = 2

= (2)^{4} - \frac{1}{2}

Simplify

(2)^{4} - \frac{1}{2} : \frac{7}{2}

= \frac{7}{2}

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

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x \to \infty lim (6 (x))

x \to 2 lim (5 x + 8)

What is the limit as x approaches sqrt(2) of x^4-1/2 ?
The limit as x approaches sqrt(2) of x^4-1/2 is 7/2