What is the limit as x approaches 2 of sin(1/x-1/2) ?

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

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limit as x approaches 2 of sin(1/x-1/2)

x \to 2 lim (sin (\frac{1}{x} - \frac{1}{2}))

0

Solution steps

x \to 2 lim (sin (\frac{1}{x} - \frac{1}{2}))

Plug in the value

x = 2

= sin (\frac{1}{2} - \frac{1}{2})

Simplify

sin (\frac{1}{2} - \frac{1}{2}) : 0

= 0

\int x 4 x + 1 d x

f (x) = 5 x + 7 x

(x^{2} + 1) y^{^{'}} + 3 x (y - 1) = 0, y (0) = 4

\int \frac{x ^{3} + 1}{x ^{3} + x ^{2}} d x

y = e^{- x} arctan (5 e^{x})

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