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Byju's Answer
Standard XII
Mathematics
Substitution Method to Remove Indeterminate Form
Find limx→π...
Question
Find
lim
x
→
π
/
4
sin
x
−
cos
x
x
−
π
Open in App
Solution
lim
x
→
π
4
sin
x
−
cos
x
x
−
π
=
lim
x
→
π
4
cos
x
+
sin
x
1
Applying L hospital's rule
=
lim
x
→
x
4
sin
x
+
cos
x
=
sin
π
4
+
cos
π
4
=
1
√
2
+
1
√
2
=
2
√
2
=
√
2
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Similar questions
Q.
lim
x
→
π
/
4
√
cos
x
−
√
sin
x
x
−
π
/
4
Q.
Evaluate :
lim
x
→
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4
√
cos
x
−
√
sin
x
x
−
π
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Q.
solve.
lim
x
→
π
4
√
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−
cos
x
−
sin
x
(
π
4
−
x
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2
Q.
lim
x
→
π
/
4
sin
x
−
cos
x
π
−
4
x
is equal to:
Q.
lim
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→
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1
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cos
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(
cos
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4
−
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)
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