What is the limit as y approaches 1/2 of (15y^2-6)^4 ?

The limit as y approaches 1/2 of (15y^2-6)^4 is 6561/256

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limit as y approaches 1/2 of (15y^2-6)^4

y \to \frac{1}{2} lim ((15 y^{2} - 6)^{4})

\frac{6561}{256}

Decimal

25.62890 \dots

Solution steps

y \to \frac{1}{2} lim ((15 y^{2} - 6)^{4})

Plug in the value

y = \frac{1}{2}

= (15 (\frac{1}{2})^{2} - 6)^{4}

Simplify

(15 (\frac{1}{2})^{2} - 6)^{4} : \frac{6561}{256}

= \frac{6561}{256}

What is the limit as y approaches 1/2 of (15y^2-6)^4 ?
The limit as y approaches 1/2 of (15y^2-6)^4 is 6561/256