Calculus ab
lim x--> 4 sqrt(x+5)-3 / 4-x
the answer is apparently -1/6
how do you solve this

Assuming you mean


that means as x approaches 4

if we sub 0 for x we get
0/0
and intermitent form
use l'hopital's rule

so
take the derivitive of the top and bottom seperatly
l'hopitals rule is something like
if results in 0/0 or -∞/∞ or∞/∞ then keep doing it until f(n)/g(n) gives a form that isn't intermitent

so

take derivitive of top and bottom

now, if we subsitute 4 for x we get
=

=

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