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Compute the limit: lim x→∞ 4x

Answer :

Final Answer:

The limit of 4x as x approaches a value is simply 4 times that value.

Explanation:

When we compute the limit of 4x as x approaches a specific value, say 'a', it means we're determining the value that 4x gets arbitrarily close to as x gets arbitrarily close to 'a'. In this case, the function is a simple linear one, y = 4x.

As 'x' approaches 'a', the output 'y' will approach 4a. This is because for any value of 'x', when multiplied by 4, the result will be four times that value. Therefore, the limit of 4x as x approaches 'a' is 4a.

To put it in another way, as x gets very close to 'a', 4x gets very close to 4a. This relationship holds true regardless of the specific value of 'a'.

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