What is the limit as x approaches 2 of (x+2)^6(3x^2) ?

The limit as x approaches 2 of (x+2)^6(3x^2) is 49152

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limit as x approaches 2 of (x+2)^6(3x^2)

x \to 2 lim ((x + 2)^{6} (3 x^{2}))

49152

Solution steps

x \to 2 lim ((x + 2)^{6} \cdot 3 x^{2})

Plug in the value

x = 2

= (2 + 2)^{6} \cdot 3 \cdot 2^{2}

Simplify

(2 + 2)^{6} \cdot 3 \cdot 2^{2} : 49152

= 49152

y^{^{''}} + 9 y = t^{2} e^{3} t + 6

\frac{1}{( s - 3 ) ( s + 1 )}

\int \frac{3 x - y}{9} d y

y^{^{''}} - 14 y^{^{'}} + 49 y = 3 t^{- 1} e^{7 t}

\frac{d}{d x} (2 csc (x) + 4 cot (x))

What is the limit as x approaches 2 of (x+2)^6(3x^2) ?
The limit as x approaches 2 of (x+2)^6(3x^2) is 49152