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Show that the function defined by f(x)=c...

Show that the function defined by `f(x)=cos(x^2)`is a continuous function.

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To show that the function \( f(x) = \cos(x^2) \) is continuous, we can use the properties of continuous functions and the composition of functions. Here’s the step-by-step solution: ### Step 1: Identify the functions involved We can express \( f(x) \) as a composition of two functions: - Let \( g(x) = \cos(x) \) - Let \( h(x) = x^2 \) Thus, we can write: ...
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