What is the limit as x approaches 0-of (6sin(x))/x ?

The limit as x approaches 0-of (6sin(x))/x is 6

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limit as x approaches 0-of (6sin(x))/x

x \to 0 - lim (\frac{6 sin ( x )}{x})

6

Solution steps

x \to 0 - lim (\frac{6 sin ( x )}{x})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= 6 \cdot x \to 0 - lim (\frac{sin ( x )}{x})

Apply L'Hopital's Rule

: x \to 0 - lim (\frac{cos ( x )}{1})

= 6 \cdot x \to 0 - lim (\frac{cos ( x )}{1})

Plug in the value

x = 0

= 6 \cdot \frac{cos ( 0 )}{1}

Simplify

6 \cdot \frac{cos ( 0 )}{1} : 6

= 6

\int_{1}^{\infty} \frac{2}{e ^{x}} d x

\frac{\partial}{\partial x} (6 y^{2} - 6 x^{2})

f (x) = x^{2} + 2, (2, 6)

f (x) = x^{2} - x, at x = 4

y^{^{'}} = y ln (\frac{450}{y})

What is the limit as x approaches 0-of (6sin(x))/x ?
The limit as x approaches 0-of (6sin(x))/x is 6