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Byju's Answer
Standard XII
Mathematics
Integration by Parts
Evaluate L =...
Question
Evaluate
L
=
lim
x
→
0
1
+
x
2
−
cos
x
x
tan
x
Open in App
Solution
lim
x
→
0
1
+
x
2
−
cos
x
x
tan
x
is of
0
0
form.
Using L'Hospitals rule,we have
=
lim
x
→
0
2
x
+
sin
x
x
sec
2
x
+
tan
x
is of
0
0
form.
=
lim
x
→
0
2
+
cos
x
2
x
sec
2
x
tan
x
+
sec
2
x
+
sec
2
x
=
lim
x
→
0
2
+
cos
x
2
x
sec
2
x
tan
x
+
2
sec
2
x
=
2
+
1
0
+
2
=
3
2
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