1. Academic Questions
  2. Maths Questions
  3. Evaluate The Limit X Tends To Zero Log 1 Plus 5x Whole Divided By X
Top Banner

Evaluate the limit x tends to zerolog(1+5x) whole divided by x.

\(lim _{xto :0}left(frac{ln left(1+5xright)}{x}right)\)

Apply Lhospital rule,

\(=lim _{xto :0}left(frac{frac{5}{1+5x}}{1}right)\) \(=lim _{xto :0}left(frac{5}{1+5x}right)\)

Plug in the value x=0

\(=frac{5}{1+5cdot :0}\) =5

Was this answer helpful?

  
   

3 (2)

Upvote (1)

Choose An Option That Best Describes Your Problem

Thank you. Your Feedback will Help us Serve you better.
Related Questions & Answers
Why The Enthalpies Of Fusion For All Reactions Are Positive Name The Long Part Of Neuron
Terrestrial Environment Meaning Si Unit Of Speed Is Defined By
What Do You Mean By Organic Farming Describe One Way How Plants Responds To Stimuli
What Are The Effects Of Soil Erosion How Is Rna Different From Dna
Where Is The National Sugar Institute Of India Located Give An Example Of Reaction In Which Gas Is Evolved

BOOK

Free Class
Ask
Question