What is the limit as x approaches 0 of (cos(x))/2 ?

The limit as x approaches 0 of (cos(x))/2 is 1/2

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limit as x approaches 0 of (cos(x))/2

x \to 0 lim (\frac{cos ( x )}{2})

\frac{1}{2}

Decimal

0.5

Solution steps

x \to 0 lim (\frac{cos ( x )}{2})

Plug in the value

x = 0

= \frac{cos ( 0 )}{2}

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}

= \frac{1}{2}

\int s d s

\frac{d}{d x} ((x + \frac{1}{x}) (5 x^{2} - \frac{1}{x ^{2}}))

f (x) = - 3 3 x \cdot sec (2 x)

\frac{9 x - 9}{- x + 7}

y = 3 x^{2} - 7 x + 4

What is the limit as x approaches 0 of (cos(x))/2 ?
The limit as x approaches 0 of (cos(x))/2 is 1/2