What is the limit as x approaches infinity of (30)/(1+x^{10)} ?

The limit as x approaches infinity of (30)/(1+x^{10)} is 0

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limit as x approaches infinity of (30)/(1+x^{10)}

x \to \infty lim (\frac{30}{1 + x ^{10}})

0

Solution steps

x \to \infty lim (\frac{30}{1 + x ^{10}})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= 30 \cdot x \to \infty lim (\frac{1}{1 + x ^{10}})

x \to a lim [\frac{f ( x )}{g ( x )}] = \frac{lim _{x \to a} f ( x )}{lim _{x \to a} g ( x )}, x \to a lim g (x) \neq = 0

With the exception of indeterminate form

= 30 \cdot \frac{lim _{x \to \infty} ( 1 )}{lim _{x \to \infty} ( 1 + x ^{10} )}

x \to \infty lim (1) = 1

x \to \infty lim (1 + x^{10}) = \infty

= 30 \cdot \frac{1}{\infty}

Simplify

30 \cdot \frac{1}{\infty} : 0

= 0

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What is the limit as x approaches infinity of (30)/(1+x^{10)} ?
The limit as x approaches infinity of (30)/(1+x^{10)} is 0