What is the limit as x approaches 0-of cos(x) ?

The limit as x approaches 0-of cos(x) is 1

Popular >

limit as x approaches 0-of cos(x)

x \to 0 - lim (cos (x))

1

Solution steps

x \to 0 - lim (cos (x))

Plug in the value

x = 0

= cos (0)

Use the following trivial identity:

cos (0) = 1

cos (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= 1

\int x cos^{4} (x) d x

\int (\frac{x + 5}{x}) d x

n = 0 \sum \infty 1 - cos (\frac{1}{n})

y^{^{''}} - 6 y^{^{'}} + 9 y = \frac{( e ^{3 t} )}{t ^{2}}

f (x) = \frac{2 x ^{2} + 2 x - 4}{x ^{2} + x - 6}

What is the limit as x approaches 0-of cos(x) ?
The limit as x approaches 0-of cos(x) is 1