What is the limit as t approaches-1 of (t^{10}+t^5+1)/(t-1) ?

The limit as t approaches-1 of (t^{10}+t^5+1)/(t-1) is -1/2

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limit as t approaches-1 of (t^{10}+t^5+1)/(t-1)

t \to - 1 lim (\frac{t ^{10} + t ^{5} + 1}{t - 1})

- \frac{1}{2}

Decimal

- 0.5

Solution steps

t \to - 1 lim (\frac{t ^{10} + t ^{5} + 1}{t - 1})

Plug in the value

t = - 1

= \frac{( - 1 ) ^{10} + ( - 1 ) ^{5} + 1}{- 1 - 1}

Simplify

\frac{( - 1 ) ^{10} + ( - 1 ) ^{5} + 1}{- 1 - 1} : - \frac{1}{2}

= - \frac{1}{2}

1936 - 16 t^{2}

\frac{x}{x - 5}

(3.2) (5.6)

y = (x - 2) (2 x + 3)

\frac{d}{d x} (12 - x)

What is the limit as t approaches-1 of (t^{10}+t^5+1)/(t-1) ?
The limit as t approaches-1 of (t^{10}+t^5+1)/(t-1) is -1/2