What is the limit as x approaches infinity of (256^{x/2})/(4^{2x)} ?

The limit as x approaches infinity of (256^{x/2})/(4^{2x)} is 1

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limit as x approaches infinity of (256^{x/2})/(4^{2x)}

x \to \infty lim (\frac{25 6 ^{\frac{x}{2}}}{4 ^{2 x}})

1

Solution steps

x \to \infty lim (\frac{25 6 ^{\frac{x}{2}}}{4 ^{2 x}})

\frac{25 6 ^{\frac{x}{2}}}{4 ^{2 x}} = 1

= x \to \infty lim (1)

x \to a lim c = c

= 1

What is the limit as x approaches infinity of (256^{x/2})/(4^{2x)} ?
The limit as x approaches infinity of (256^{x/2})/(4^{2x)} is 1