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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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$-\lim_{x\to{0^{+}}}\left(x\ln\left(x\right)\right)$
Learn how to solve limits problems step by step online. Find the limit of -xln(x) as x approaches 0 from the right. 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\to{0^{+}}}\left(x\ln\left(x\right)\right) by replacing all occurrences of x by 0. \ln(0) grows unbounded towards minus infinity. 0\cdot\infty is an indeterminate form.