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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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}

\int \frac{( x + 1 )}{4 x} d x

\int - \frac{3}{2} x d x

\int \frac{10}{( 4 x ^{3} - 4 x ^{2} + 8 x )} d x

\frac{d}{d x} (∣ sin (6 x) ∣)

\frac{d}{d x} ((2 x - 1) 3 - 4 x)

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