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teachoo.com
Ex 5.1, 31 - Show that f(x) = cos (x^2) is a continuous function.
Ex 5.1, 31 Show that the function defined by 𝑓(𝑥)=cos(𝑥^2 ) is a continuous function.𝑓(𝑥) = cos(𝑥^2 )Let 𝒈(𝒙) = cos𝑥 & 𝒉(𝒙) = 𝑥^2Now, 𝒈𝒐𝒉(𝒙)= g(ℎ(𝑥)) = 𝑔(𝑥^2 )= cos(𝑥^2 )= 𝒇(𝒙) Hence, 𝑓(𝑥) = 𝑔𝑜ℎ(𝑥)We know that 𝒈(𝒙) = cos𝑥 is continuous ...
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