# Kindly solve this question based on Functions ?

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Which of the following statement(s) is(are) correct, Explain with some example ?

(A) If #f# is a one-one mapping from set A to A , then #f# is onto.

(B) If #f# is an onto mapping from set A to A , then #f# is one-one.

Which of the following statement(s) is(are) correct, Explain with some example ?

(A) If

(B) If

This is not true for infinite sets.

Counterexample 2: Let f be defined on the natural numbers as follows: f(1) = 1. For n > 1, f(n) = n - 1. Then f(2) = f(1), so f is not one-to-one. However, every natural number is in the image of the function, so f is onto.

For finite sets it is true that f is one-to-one if and only if f is onto.

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Of course, please provide the specific question or problem related to functions that you would like me to solve, and I'll be happy to assist you.

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Of course! Please provide the specific question or problem related to functions that you would like me to solve.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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