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Hi I need help with this problem, it’s true or false. I’m in high school Calc 1

Hi I need help with this problem, it’s true or false. I’m in high school Calc 1-example-1

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Note that the limit of the product of the two functions is equal to the product of its individual limits.


\lim _(x\to a)f(x)\cdot g(x)=\lim _(x\to a)f(x)\cdot\lim _(x\to a)g(x)

From the problem, we have a limit of a product of two functions x and 1/x, so we can rewrite it as the product of two limits, limit of x and limit of 1/x

Therefore, the equation is True

ANSWER :

True

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