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given= f(x)=IcosxI
to prove = IcosxI is continuous
proof =
let h(x)= cos x
and g(x) = IxI
from graph of cosx,
cos x is continuous
IxI is also continuous throughout

f(x) = goh
= g(h(x))
= g(cosx)
= IcosxI

since h(x) and g(x) is continuous,
goh is also continuous
f(x) =IcosxI is also continuous

hello Nomro hehe

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Abhipsa

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Naillya - Correct answer with all steps mentioned including:
1) Condition for the function to be continuous
2) LHL=RHL=f(x)
3) Relation connecting both a and b

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Abhipsa
Levita- Correct answer just mention:
LHL=RHL=f(3)

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Ginan- working is correct but need to mention in the end that f(x) is also continous