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Show that the function defined by {f{{({x})}}}={{{({x}^{{2}})}

Question

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

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Camila Discussed

Show that the function defined by

f (x) = cos (x^{2})

is a continuous function.

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

Solution:

let

x^{2} = t

g (x) = t

now,

f (g (x)) = f (t)

continuous function where

x \in R

can be clear from graph
answer

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Question Text	Show that the function defined by $f (x) = cos (x^{2})$ is a continuous function.
Answer Type	Text solution:1
Upvotes	150