What is the limit as x approaches infinity of (cos(21x))/(21x) ?

The limit as x approaches infinity of (cos(21x))/(21x) is 0

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limit as x approaches infinity of (cos(21x))/(21x)

x \to \infty lim (\frac{cos ( 21 x )}{21 x})

0

Solution steps

x \to \infty lim (\frac{cos ( 21 x )}{21 x})

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

= \frac{1}{21} \cdot x \to \infty lim (\frac{cos ( 21 x )}{x})

Apply the Squeeze Theorem:

0

= \frac{1}{21} \cdot 0

Simplify

= 0

\frac{d}{d x} (\frac{2}{5} x)

\frac{d y}{d x} = 3 x^{4} - 6 x^{3} + 3 x - 8

f (x) = 5 x^{3} - 5 x^{2} + 2, (1, 2)

x \to - 1 - lim (3 x + 3 - 5)

y^{^{'}} = \frac{( y - y ^{2} )}{t}

What is the limit as x approaches infinity of (cos(21x))/(21x) ?
The limit as x approaches infinity of (cos(21x))/(21x) is 0