Continued Fractions

--[reporting2] Doing 'do snippet' - should be imbed--

This needs GCSE level skills.

Have you ever seen something like this? Could you work out its value?

1+1
1+1
1+1
1+1
1+. . .

The . . . denotes that this process goes on forever.

Is it mathematically valid to write such a thing? Can it be said to have a finite value?

We can treat it as an infinite sequence and see if it tends to a limit: -mathformula not MarkupType-
Fatal error: Uncaught Error: Call to undefined method mathformula::makeTypeDef() in /var/www/vhosts/ent.storkey.uk/html/inc/reporting2.php:365 Stack trace: #0 /var/www/vhosts/ent.storkey.uk/html/inc/dynaPage.php(189): echo_value('continuedfracts', 'content', Array) #1 /var/www/vhosts/ent.storkey.uk/html/inc/dynaPage.php(742): dynaPage->echo_value('content') #2 /var/www/vhosts/ent.storkey.uk/html/inc/dynaPage.php(179): mainPanel->write('main-panel') #3 /var/www/vhosts/ent.storkey.uk/html/index.php(21): dynaPage->write() #4 {main} thrown in /var/www/vhosts/ent.storkey.uk/html/inc/reporting2.php on line 365