lt x tends to 0 then 1-cosx/x²
Answers
Answer:
Q15. Rita goes 240 km towards east from a point A to the point B. From B, she moves 190 km towards west along the same road. If the distance towards east is represented by a positive integer then, how will you represent the distance travelled towards west? By which integer will you represent her final position from A?
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Step-by-step explanation:
Answer:
lim
x
→
0
1
−
cos
x
x
2
=
lim
x
→
0
(
sin
2
x
x
2
⋅
1
1
+
cos
x
)
=
1
2
Explanation:
1
−
cos
x
x
2
=
(
1
−
cos
x
)
x
2
⋅
(
1
+
cos
x
)
(
1
+
cos
x
)
=
1
−
cos
2
x
x
2
(
1
+
cos
x
)
=
sin
2
x
x
2
(
1
+
cos
x
)
=
sin
2
x
x
2
⋅
1
1
+
cos
xlim
x
→
0
1
−
cos
x
x
2
=
lim
x
→
0
(
sin
2
x
x
2
⋅
1
1
+
cos
x
)
=
1
2
Explanation:
1
−
cos
x
x
2
=
(
1
−
cos
x
)
x
2
⋅
(
1
+
cos
x
)
(
1
+
cos
x
)
=
1
−
cos
2
x
x
2
(
1
+
cos
x
)
=
sin
2
x
x
2
(
1
+
cos
x
)
=
sin
2
x
x
2
⋅
1
1
+
cos
x
Step-by-step explanation: