What is the limit as x approaches 1/3 of (x^2)/(x^4) ?

The limit as x approaches 1/3 of (x^2)/(x^4) is 9

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limit as x approaches 1/3 of (x^2)/(x^4)

x \to \frac{1}{3} lim (\frac{x ^{2}}{x ^{4}})

9

Solution steps

x \to \frac{1}{3} lim (\frac{x ^{2}}{x ^{4}})

Plug in the value

x = \frac{1}{3}

= \frac{( \frac{1}{3} ) ^{2}}{( \frac{1}{3} ) ^{4}}

Simplify

\frac{( \frac{1}{3} ) ^{2}}{( \frac{1}{3} ) ^{4}} : 9

= 9

x \to (a + 1) lim (x - 1)

x \to - 2 lim ((x^{2} + 4) (x - 7))

x \to 4 + lim (\frac{5}{x - 4})

x \to 8 - lim (f (x))

x \to 3 lim (sin (\frac{1}{x}))

What is the limit as x approaches 1/3 of (x^2)/(x^4) ?
The limit as x approaches 1/3 of (x^2)/(x^4) is 9