What is the limit as x approaches infinity of (-2)^x ?

The limit as x approaches infinity of (-2)^x is diverges

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limit as x approaches infinity of (-2)^x

x \to \infty lim ((- 2)^{x})

diverges

Solution steps

x \to \infty lim ((- 2)^{x})

Apply exponent rule:

(a \cdot b)^{n} = a^{n} \cdot b^{n}

(- 2)^{x} = (- 1)^{x} (2)^{x}

= x \to \infty lim ((- 1)^{x} \cdot 2^{x})

Apply Limit Divergence Criterion:

diverges

= diverges

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

x \to 2 lim (\frac{5}{( x - 2 ) ^{3}})

x \to 0 lim (12 x cot (9 x))

x \to \infty lim (\frac{ln ( 1 + e ^{x} )}{12 x + 11})

x \to 1 lim (x^{2} + 6 x)

What is the limit as x approaches infinity of (-2)^x ?
The limit as x approaches infinity of (-2)^x is diverges