FIND THE VALUE OF C THAT MAKES THE PIECEWISE FUNCTION CONTINUOUS EVERYWHERE

Find the value of the constant c that makes the piecewise function continuous everywhere.
Before working with this piecewise function f to make sure it's continuous everywhere we can simplify it first to make things easier for us.
Once we simplify the piecewise function we can apply this shortcut to easily find the value of c to make sure f is continuous. Here I'll show you the quick and easy way to find the value of the constant c that will make the piecewise function continuous for all real numbers.
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Examples of making piecewise functions continuous - • HOW TO FIND CONSTANTS ...
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Find the values of a and b that make f continuous everywhere - jakesmathlesso...
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[@minerzone63]

Very clear and to the point. Thanks a lot!

[@JakesMathLessons]

You’re welcome, happy to help!

[@FiftiesDad]

Thanks man just subbed. Been looking for help for an hour. I FORGOT TO FACTOR.

[@JakesMathLessons]

Thank you! Happy to help!

[@mannydinho3520]

thank you Jake. You're a lifesaver!

[@JakesMathLessons]

Great, happy to hear you found it helpful!

[@RobertoLopez-mc9up]

soooo much clear...thanks!

[@JakesMathLessons]

Of course, happy to help!

[@d9e240]

Thanks Jake!

[@JakesMathLessons]

You’re welcome!

[@reginetumulak6742]

Thank you

[@JakesMathLessons]

You’re welcome!

[@pleromahomillano6624]

Thannk you!

[@JakesMathLessons]

You’re welcome!

[@hope315]

Wonderful thank you 🙏

[@JakesMathLessons]

You’re welcome!

[@ahsanraza135]

Can we also apply the l'hospital rule on the fraction part to find the value of c?

[@JakesMathLessons]

Yeah that should work too. As long as the 3 conditions needed for L’Hospital’s rule are met you can use it to find a limit. jakesmathlessons.com/derivatives/lhospitals-rule-how-to-with-examples/

[@ahsanraza135]

@@JakesMathLessons thank you this helped alot

[@JakesMathLessons]

@@ahsanraza135 you’re welcome, I’m glad it helped!

[@phamminhnhatk16_hcm66]

gREATTTT

[@JakesMathLessons]

Thank you!

[@XerathMTA]

how tf did you factor so fast

[@JakesMathLessons]

Lots of practice. You'll get there!