# Computing $\lim_{h\rightarrow 0}\frac{\tan(-\frac{\pi}{4})+1}{h}$

How do I compute a tan limit with a fraction?

$$\lim_{h\rightarrow 0}\frac{\tan(-\frac{\pi}{4})+1}{h}$$

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Do you know what $\tan -\frac{\pi }{4}$ is? –  user17794 Jun 25 '12 at 1:10
Its -1 i assume? or 0 ? –  soniccool Jun 25 '12 at 1:11
Don't assume. It's a basic value, so you should know it. –  Arturo Magidin Jun 25 '12 at 1:12
And if you don't know it, you should be able to work it out. –  Gerry Myerson Jun 25 '12 at 1:50
You should at first learn about trigonometric functions before calculus. –  Frank Science Jun 25 '12 at 6:03

Since $\tan(- \pi /4 ) + 1 = 0$, we have
$$\lim_{h \rightarrow 0} \frac{\tan \left ( \frac{- \pi}{4} \right ) + 1}{h} = \lim_{h \rightarrow 0} \frac{0}{h} = \lim_{x \rightarrow 0} 0 = 0$$