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

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

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

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

sin (k)

Solution steps

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

Cancel the common factor:

x

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

x \to a lim c = c

= sin (k)

\int \frac{x}{2 x ^{2} + 5 x + 2} d x

x \to \infty lim (- 28 x^{4})

\frac{d y}{d x}, x y^{2} = 4

\int \frac{2 x}{( x + 2 ) ( x + 1 )} d x

\frac{\partial}{\partial x} (4 x - 2 y)

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