Question and Answers Forum

All Questions      Topic List

Relation and Functions Questions

Previous in All Question      Next in All Question      

Previous in Relation and Functions      Next in Relation and Functions      

Question Number 40091 by maxmathsup by imad last updated on 15/Jul/18

$$findaequivalenttof\left(x\right)=cos\left(sinx\right)forx\in v\left(0\right)$$$$2)findaequivalenttog\left(x\right)=tan\left(\frac{\pi }{2x+1}\right)(x\to 0)$$

Commented by math khazana by abdo last updated on 26/Jul/18

$$1)wehavesinx\sim x\Rightarrow cos\left(sinx\right)\sim cosx\sim 1-\frac{x^2}{2}$$$$\Rightarrow f\left(x\right)\sim 1-\frac{x^2}{2}(x\to 0)$$$$2)wehave\frac{\pi }{2x+1}=\frac{\pi }{1+2x}\sim \pi (1-2x)\Rightarrow$$$$tan\left(\frac{\pi }{2x+1}\right)\sim tan\left(\pi (1-2x)\right)\sim -tan\left(2\pi x\right)\sim -2\pi x\Rightarrow$$$$g\left(x\right)\sim -2\pi x(x\to 0)$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com