What is the limit as x approaches 4 of cos(1/x-1/4) ?

The limit as x approaches 4 of cos(1/x-1/4) is 1

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limit as x approaches 4 of cos(1/x-1/4)

x \to 4 lim (cos (\frac{1}{x} - \frac{1}{4}))

1

Solution steps

x \to 4 lim (cos (\frac{1}{x} - \frac{1}{4}))

Plug in the value

x = 4

= cos (\frac{1}{4} - \frac{1}{4})

Simplify

cos (\frac{1}{4} - \frac{1}{4}) : 1

= 1

x \to 1 lim (3 x + 1)

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

x \to 14 lim (\frac{x}{7})

x \to \infty lim ((x^{2} + 2 x - x)^{\frac{6}{x} l n (c o s (\frac{1}{x}))})

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

What is the limit as x approaches 4 of cos(1/x-1/4) ?
The limit as x approaches 4 of cos(1/x-1/4) is 1