What is the limit as x approaches 0 of tan(x^2-x-9) ?

The limit as x approaches 0 of tan(x^2-x-9) is -tan(9)

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limit as x approaches 0 of tan(x^2-x-9)

x \to 0 lim (tan (x^{2} - x - 9))

- tan (9)

Decimal

0.45231 \dots

Solution steps

x \to 0 lim (tan (x^{2} - x - 9))

Plug in the value

x = 0

= tan (0^{2} - 0 - 9)

Simplify

tan (0^{2} - 0 - 9) : - tan (9)

= - tan (9)

x \to 1 lim (\frac{x - 1}{x - 1})

x \to 9 lim (9 - x)

x \to 0 + lim (\frac{9}{x} - ln (x))

x \to 0 lim (\frac{3}{2 x})

x \to 3 lim (x^{3} - 5 x^{2} + 2 x - 1)

What is the limit as x approaches 0 of tan(x^2-x-9) ?
The limit as x approaches 0 of tan(x^2-x-9) is -tan(9)