## Cade Simu Para Mac ↗️

convergence test with sin and cos function

Hi this is my text book example and I’m not getting any clue to solve this.

Problem: Let $f : \mathbb R \to \mathbb R$ be a function given by
$$f(x) = \begin{cases} \frac{1}{5}-\cos x, & \text{if } x \in (-\infty, 0), \\ \frac{1}{5}+\cos x, & \text{if } x \in (0, \pi], \\ \frac{1}{5}, & \text{if } x \in (\pi, \infty). \end{cases}$$
Determine if $f$ is continuous or not.

A:

Note that, for $n\in \Bbb N$,
$$f(x+2n\pi)=(-1)^n\left(\frac{1}{5}+(-1)^n\cos(x)\right)$$
so, if $x\in[k\pi,(k+1)\pi]$ for some $k\in\Bbb Z$,

|f(x)-f(x+2\pi)|=\left|\frac{1}{5}+(-1)^n\cos(x)\right|Q:

store the image in a variable in android

I want to store the image that is uploaded by the user to my pc to a variable in android and then display the variable in my app. I’m really new to android development so any help will be much appreciated.

A:

You can get the filepath of that image using this method :
//getFile on the path of your image
File imageFile = new File(imageUri.getPath

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Para desenvolver jogos desenvolvidos no Unity ou outro framework, existem diversas ferramentas. Cade simu para mac. Â .

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