lim x tends to 0 sinmx/tannx
Answers
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0
Answer:
lim
x
→
0
tan
x
sin
x
=
1
Explanation:
Plugging in
0
right away yields
tan
(
0
)
sin
(
0
)
=
0
0
,
an indeterminate form, so we must simplify.
Recall
tan
x
=
sin
x
cos
x
.
So,
lim
x
→
0
tan
x
sin
x
=
lim
x
→
0
sin
x
cos
x
sin
x
=
lim
x
→
0
sin
x
cos
x
sin
x
=
lim
x
→
0
sec
x
=
sec
0
=
1
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