What is the limit as x approaches 0 of (sin(5)(x))/x ?

The limit as x approaches 0 of (sin(5)(x))/x is sin(5)

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limit as x approaches 0 of (sin(5)(x))/x

x \to 0 lim (\frac{sin ( 5 ) ( x )}{x})

sin (5)

Decimal

- 0.95892 \dots

Solution steps

x \to 0 lim (\frac{sin ( 5 ) x}{x})

Cancel the common factor:

x

= x \to 0 lim (sin (5))

x \to a lim c = c

= sin (5)

What is the limit as x approaches 0 of (sin(5)(x))/x ?
The limit as x approaches 0 of (sin(5)(x))/x is sin(5)