Question #6607c

1 Answer
Leland Adriano Alejandro
Oct 5, 2017

The answer is #lim (2x)/(3- sqrt (x+9))=- 12 #

Explanation:

The solution
#lim (2x)/(3- sqrt (x+9))= 0/0#
This takes the indeterminate form #0/0#

Using L'Hospital's Rule

#lim (2x)/(3- sqrt (x+9))=lim 2/(- 1/(2sqrt (x+9)))= 2/(- 1/6)=- 12# as #x#approaches zero.

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