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Question
Write the converse and contrapositive of the following statements.
“If a function is differentiable then it is continuous”
Solution
Let p: A function is differentiable,
q: It is continuous.
∴ The symbolic form of the given statement is p → q.
Converse: q → p
i.e. If a function is continuous then it is differentiable
Contrapositive: ~q → ~p
i.e. If a function is not continuous then it is not differentiable.
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