answer this fastly plzzzzz
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Answer:
Zero
Step-by-step explanation:
........................
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Know the following limit identity:
lim
x
→
0
sin
x
x
=
1
We can rewrite the given function so that we can make use of the fact that
lim
x
→
0
sin
x
x
=
1
.
The question rewritten is
lim
x
→
0
sin
2
x
x
Notice that we can isolate
sin
x
x
from this.
=
lim
x
→
0
sin
x
x
(
sin
x
)
Limits can be multiplied, as follows:
=
lim
x
→
0
sin
x
x
⋅
lim
x
→
0
sin
x
Since the first part equals just
1
, this simplifies to be
=
lim
x
→
0
sin
x
We can now evaluate the limit by plugging in
0
for
x
.
=
sin
(
0
)
=
0
The function should approach
0
at
x
=
0
:
graph{(sinx)^2/x [-6.243, 6.243, -1, 1]}
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