Deprecated: Methods with the same name as their class will not be constructors in a future version of PHP; plgContentJComments has a deprecated constructor in /var/www/astarmathsandphysics/plugins/content/jcomments/jcomments.php on line 25 Call Stack: 0.0001 362712 1. {main}() /var/www/astarmathsandphysics/index.php:0 0.0560 1212248 2. Joomla\CMS\Application\SiteApplication->execute() /var/www/astarmathsandphysics/index.php:49 0.0560 1212248 3. Joomla\CMS\Application\SiteApplication->doExecute() /var/www/astarmathsandphysics/libraries/src/Application/CMSApplication.php:267 0.1744 4193400 4. Joomla\CMS\Application\SiteApplication->dispatch() /var/www/astarmathsandphysics/libraries/src/Application/SiteApplication.php:233 0.1760 4221192 5. Joomla\CMS\Component\ComponentHelper::renderComponent() /var/www/astarmathsandphysics/libraries/src/Application/SiteApplication.php:194 0.1770 4238904 6. Joomla\CMS\Component\ComponentHelper::executeComponent() /var/www/astarmathsandphysics/libraries/src/Component/ComponentHelper.php:356 0.1773 4269424 7. require_once('/var/www/astarmathsandphysics/components/com_content/content.php') /var/www/astarmathsandphysics/libraries/src/Component/ComponentHelper.php:381 0.1785 4292144 8. ContentController->execute() /var/www/astarmathsandphysics/components/com_content/content.php:42 0.1785 4292144 9. ContentController->display() /var/www/astarmathsandphysics/libraries/src/MVC/Controller/BaseController.php:710 0.2310 4969896 10. ContentController->display() /var/www/astarmathsandphysics/components/com_content/controller.php:113 0.2348 5162048 11. Joomla\CMS\Cache\Controller\ViewController->get() /var/www/astarmathsandphysics/libraries/src/MVC/Controller/BaseController.php:663 0.2353 5182976 12. ContentViewArticle->display() /var/www/astarmathsandphysics/libraries/src/Cache/Controller/ViewController.php:102 0.2467 5395632 13. Joomla\CMS\Plugin\PluginHelper::importPlugin() /var/www/astarmathsandphysics/components/com_content/views/article/view.html.php:189 0.2468 5395888 14. Joomla\CMS\Plugin\PluginHelper::import() /var/www/astarmathsandphysics/libraries/src/Plugin/PluginHelper.php:182

## Convergence or Not on the Boundary of the Disc of Copnvergence

Every power serieshas a disc of convergence. The radius of the disc may be 0, infinity, or some finite number.

If the radius of convergence is some finite number r, then the power series converges for all z&lt;r and diverges for all z&gt;r, but for z=r, the series may either converge or diverge, or converge at some points absz}=r and diverge for others.

converges for alland diverges for allIfthe series also diverges.

has radius of convergence 1 and converges at every point of the disc of convergenceby comparison with the serieswhich is convergent.