Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

How do I compute a tan limit with a fraction?

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

share|improve this question
3  
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
8  
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

1 Answer 1

up vote 2 down vote accepted

Since $ \tan(- \pi /4 ) + 1 = 0$, we have

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

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.