What is the limit as x approaches 0 of (tan(a)x)/x ?

The limit as x approaches 0 of (tan(a)x)/x is tan(a)

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limit as x approaches 0 of (tan(a)x)/x

x \to 0 lim (\frac{tan ( a ) x}{x})

tan (a)

Solution steps

x \to 0 lim (\frac{tan ( a ) x}{x})

Cancel the common factor:

x

= x \to 0 lim (tan (a))

x \to a lim c = c

= tan (a)

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x \to 0 lim (\frac{x ^{3}}{e ^{x} - 1})

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\frac{2 a + b}{( s + 1 )}

\int 20 + 75 e^{- \frac{x}{50}} d x

What is the limit as x approaches 0 of (tan(a)x)/x ?
The limit as x approaches 0 of (tan(a)x)/x is tan(a)