lim x౼>0 4x-9x/(4x+9×)
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Answer:
lim
x(4
x
+9
x
)
4
x
−9
x
=f(x)
By applying L−Hospital Rule,
f
′
(x)=
x→0
lim
dx
d
(x(4
x
+9
x
))
dx
d
4
x
−9
x
f
′
(x)=
x→0
lim
4
x
+(4
x
ln4)x+9
x
+x9
x
ln9
4
x
ln4−9
x
ln9
f
′
(x)=
x→0
lim
1+1
ln4−ln9
∴
x→0
lim
x(4
x
+9
x
)
4
x
−9
x
=ln
3
2
Step-by-step explanation:
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