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

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

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

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

sin (c)

Solution steps

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

Cancel the common factor:

x

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

x \to a lim c = c

= sin (c)

x \to 0 + lim (x^{x^{3}})

n = 1 \sum \infty \frac{( 1 ) ^{n}}{n}

n = 0 \sum \infty \frac{17}{2}

\frac{\partial}{\partial y} (e^{x y z^{2}} y z^{2})

\frac{d}{d x} ((2 x + 1)^{4} + 8 x (2 x + 1)^{3})

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