What is the limit as x approaches 0 of (tan(2)(x))/x ?

The limit as x approaches 0 of (tan(2)(x))/x is tan(2)

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limit as x approaches 0 of (tan(2)(x))/x

x \to 0 lim (\frac{tan ( 2 ) ( x )}{x})

tan (2)

Decimal Notation

- 2.18503 \dots

Solution steps

x \to 0 lim (\frac{tan ( 2 ) x}{x})

Cancel the common factor:

x

= x \to 0 lim (tan (2))

x \to a lim c = c

= tan (2)

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\frac{d}{d x} (4 x^{3} + 5 x)

\frac{d}{d x} (arctan (\frac{5}{x}))

\frac{x ^{2} + 2 x - 2}{( x + 1 ) ^{2}}

What is the limit as x approaches 0 of (tan(2)(x))/x ?
The limit as x approaches 0 of (tan(2)(x))/x is tan(2)