What is the limit as x approaches 1 of (x+3)(x^2+1) ?

The limit as x approaches 1 of (x+3)(x^2+1) is 8

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limit as x approaches 1 of (x+3)(x^2+1)

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

8

Solution steps

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

Plug in the value

x = 1

= (1 + 3) (1^{2} + 1)

Simplify

= 8

x \to 0 lim (1 - \frac{ln ( x ^{2} )}{x})

x \to 2 lim (4 x + 8)

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

x \to 0 lim (- \frac{ln ( 1 - x )}{x})

x \to 1 + lim (ln (x^{x}))

What is the limit as x approaches 1 of (x+3)(x^2+1) ?
The limit as x approaches 1 of (x+3)(x^2+1) is 8