limit x tends to 0 (2^x+3^x+8^x+27^x÷4)¹/sinx=
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Answer:
A one sided limit does not exist when:
1.
there is a vertical asymptote.
ex.)
lim
x
→
0
+
1
x
=
1
0
+
=
+
∞
So, the limit does not exist.
2.
there are violent oscillations.
ex.)
lim
x
→
0
−
sin
(
1
x
)
does not exist
due to violent oscillations, which looks like:
enter image source here
I hope that this was helpful.
Step-by-step explanation:
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