What is the limit as x approaches infinity of (-1)^x*(1-1/(x^2)) ?

The limit as x approaches infinity of (-1)^x*(1-1/(x^2)) is diverges

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limit as x approaches infinity of (-1)^x*(1-1/(x^2))

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

diverges

Solution steps

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

Apply Limit Divergence Criterion:

diverges

= diverges

\int sin^{2} (φ) d φ

f (x) = 4 x^{(2)} (x - 3)

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

\frac{d}{d x} (arctan (\frac{8}{x}))

\int \frac{4}{( x + 3 ) ^{2}} d x

What is the limit as x approaches infinity of (-1)^x*(1-1/(x^2)) ?
The limit as x approaches infinity of (-1)^x*(1-1/(x^2)) is diverges