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

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

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

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

sin (k)

Solution steps

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

Cancel the common factor:

x

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

x \to a lim c = c

= sin (k)

\int \frac{e ^{x}}{e ^{4} - 1} d x

\frac{d y}{d x} = 8 y, y (0) = 6

\int \frac{x ^{2} - 29 x + 5}{( x - 4 ) ^{2} ( x ^{2} + 3 )} d x

\int_{0}^{4} 1 + 9 x d x

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