What is the limit as x approaches-4 of (x+3)^{1997} ?

The limit as x approaches-4 of (x+3)^{1997} is -1

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limit as x approaches-4 of (x+3)^{1997}

x \to - 4 lim ((x + 3)^{1997})

- 1

Solution steps

x \to - 4 lim ((x + 3)^{1997})

Plug in the value

x = - 4

= (- 4 + 3)^{1997}

Simplify

(- 4 + 3)^{1997} : - 1

= - 1

x \to - 1 + lim (0)

x \to - \infty lim (x (0))

x \to - \infty lim (5 e^{x})

x \to 0 lim (4 - x^{2})

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

What is the limit as x approaches-4 of (x+3)^{1997} ?
The limit as x approaches-4 of (x+3)^{1997} is -1