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Find the limit of $\left(x+1\right)\ln\left(x\right)-\ln\left(x\right)$ as $x$ approaches 0

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 Solution

 Formulas

 Videos

Limits by direct substitution | Limits and continuity | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=cfOcOgr0E7U

Limit of (sin x)/x as x approaches 0

https://www.youtube.com/watch?v=5xitzTutKqM

_-substitution: definite integral of exponential function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=1ct7LUx23io

Undefined limits by direct substitution | Limits and continuity | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=JlOyb_RTejo

Calculus - Evaluating a limit by rationalizing the radical, lim(x tends to 0) (sqrt(x + 1) - 1)/x

https://www.youtube.com/watch?v=v8dIvXm03dw

Pre-Calculus - Condensing a logarithmic expression to one logarithm 2[3lnx - ln(x+1)-ln(x-1)]

https://www.youtube.com/watch?v=HS0--oEAT4I

 Function Plot

Plotting: $\left(x+1\right)\ln\left(x\right)-\ln\left(x\right)$

 Main Topic: Limits by Direct Substitution

Find limits of functions at a specific point by directly plugging the value into the function.

 Used Formulas

See formulas (4)

 Related Topics