What is the limit as x approaches 0 of (sin(ω)x)/x ?

The limit as x approaches 0 of (sin(ω)x)/x is sin(ω)

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limit as x approaches 0 of (sin(ω)x)/x

x \to 0 lim (\frac{sin ( ω ) x}{x})

sin (ω)

Solution steps

x \to 0 lim (\frac{sin ( ω ) x}{x})

Cancel the common factor:

x

= x \to 0 lim (sin (ω))

x \to a lim c = c

= sin (ω)

x \to 0 lim (- 1 + x)

x \to 0 lim (\frac{\frac{4}{x + 2} - 2}{x})

x \to 9 lim (lo g_{3} (x))

x \to 0 lim (\frac{2 + x}{1 + x})

x \to 0 lim (\frac{ln ( 1 - x ^{2} )}{x})

What is the limit as x approaches 0 of (sin(ω)x)/x ?
The limit as x approaches 0 of (sin(ω)x)/x is sin(ω)