What is the limit as x approaches 2 of (x^7-128)/(x-2) ?

The limit as x approaches 2 of (x^7-128)/(x-2) is 448

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limit as x approaches 2 of (x^7-128)/(x-2)

x \to 2 lim (\frac{x ^{7} - 128}{x - 2})

448

Solution steps

x \to 2 lim (\frac{x ^{7} - 128}{x - 2})

Simplify

\frac{x ^{7} - 128}{x - 2} : x^{6} + 2 x^{5} + 4 x^{4} + 8 x^{3} + 16 x^{2} + 32 x + 64

= x \to 2 lim (x^{6} + 2 x^{5} + 4 x^{4} + 8 x^{3} + 16 x^{2} + 32 x + 64)

Plug in the value

x = 2

= 2^{6} + 2 \cdot 2^{5} + 4 \cdot 2^{4} + 8 \cdot 2^{3} + 16 \cdot 2^{2} + 32 \cdot 2 + 64

Simplify

2^{6} + 2 \cdot 2^{5} + 4 \cdot 2^{4} + 8 \cdot 2^{3} + 16 \cdot 2^{2} + 32 \cdot 2 + 64 : 448

= 448

\frac{d}{d x} (e e^{x})

\int - 2 x y d x

\int y - 2 d y

n = 1 \sum \infty \frac{1}{n ^{0.9}}

\int k x d x

What is the limit as x approaches 2 of (x^7-128)/(x-2) ?
The limit as x approaches 2 of (x^7-128)/(x-2) is 448