What is the limit as x approaches-1 of \sqrt[3]{((x^2+1)(2x+1))/(3x+1)} ?

The limit as x approaches-1 of \sqrt[3]{((x^2+1)(2x+1))/(3x+1)} is 1

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limit as x approaches-1 of \sqrt[3]{((x^2+1)(2x+1))/(3x+1)}

x \to - 1 lim (3 \frac{( x ^{2} + 1 ) ( 2 x + 1 )}{3 x + 1})

1

Solution steps

x \to - 1 lim (3 \frac{( x ^{2} + 1 ) ( 2 x + 1 )}{3 x + 1})

Plug in the value

x = - 1

= 3 \frac{( ( - 1 ) ^{2} + 1 ) ( 2 ( - 1 ) + 1 )}{3 ( - 1 ) + 1}

Simplify

3 \frac{( ( - 1 ) ^{2} + 1 ) ( 2 ( - 1 ) + 1 )}{3 ( - 1 ) + 1} : 1

= 1

x \to 0 lim (\frac{sin ( x )}{- 2 tan ( x ) sec ^{2} ( x )})

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x \to \infty lim ((1 + a x)^{\frac{1}{x}})

x \to - 1 lim (∣ x - 1 ∣ (x + 1))

What is the limit as x approaches-1 of \sqrt[3]{((x^2+1)(2x+1))/(3x+1)} ?
The limit as x approaches-1 of \sqrt[3]{((x^2+1)(2x+1))/(3x+1)} is 1