Sin30'tan 45º+tan 30° cos 20' is equal
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Answer:
please mark as brilliance
Step-by-step explanation:
At x=0
As x→0
+
[x−π]=−4
& [x]=0
x→0
+
lim
f(x)=
1+0
2
tan(π(−4))
=
1
0
=0
As x→0
−
[x−π]=−4
[x]=−1
x→0
−
lim
f(x)=
1+(−1)
2
tan(π(−4))
=
2
0
=0
∴ It is continuous at x=0
[x−π] always gives us an integer
⇒tan(nπ)=0(nϵI)
⇒f(x)=0= constant function
∴ continuous everywhere
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