What is the limit as x approaches 2 of ((x^6-64))/(x-2) ?

The limit as x approaches 2 of ((x^6-64))/(x-2) is 192

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limit as x approaches 2 of ((x^6-64))/(x-2)

x \to 2 lim (\frac{( x ^{6} - 64 )}{x - 2})

192

Solution steps

x \to 2 lim (\frac{x ^{6} - 64}{x - 2})

Simplify

\frac{x ^{6} - 64}{x - 2} : (x + 2) (x^{4} + 4 x^{2} + 16)

= x \to 2 lim ((x + 2) (x^{4} + 4 x^{2} + 16))

Plug in the value

x = 2

= (2 + 2) (2^{4} + 4 \cdot 2^{2} + 16)

Simplify

(2 + 2) (2^{4} + 4 \cdot 2^{2} + 16) : 192

= 192

f (x) = 2 x

\int \frac{1}{( s - 1 ) ^{2}} d s

n = 2 \sum \infty \frac{1}{n - ln ( n )}

\int sin (2) (θ) cos (θ) d θ

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

What is the limit as x approaches 2 of ((x^6-64))/(x-2) ?
The limit as x approaches 2 of ((x^6-64))/(x-2) is 192