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The limit of the product of a function and a constant is equal to the limit of the function, times the constant: $\displaystyle \lim_{t\to 0}{\left(at\right)}=a\cdot\lim_{t\to 0}{\left(t\right)}$
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$3\lim_{x\to0}\left(x^3\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of 3x^3 as x approaches 0. The limit of the product of a function and a constant is equal to the limit of the function, times the constant: \displaystyle \lim_{t\to 0}{\left(at\right)}=a\cdot\lim_{t\to 0}{\left(t\right)}. Evaluate the limit \lim_{x\to0}\left(x^3\right) by replacing all occurrences of x by 0. Calculate the power 0^3.