Home
Class 12
MATHS
Evaluate lim(xto0) (log(5+x)-log(5-x))/(...

Evaluate `lim_(xto0) (log(5+x)-log(5-x))/(x).`

Text Solution

AI Generated Solution

To evaluate the limit \[ \lim_{x \to 0} \frac{\log(5+x) - \log(5-x)}{x}, \] we can use properties of logarithms and some limit properties. Let's break down the steps: ...
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    CENGAGE ENGLISH|Exercise Solved Examples|15 Videos
  • LIMITS

    CENGAGE ENGLISH|Exercise EXERCISE 2.1|10 Videos
  • JEE 2019

    CENGAGE ENGLISH|Exercise Chapter 10|9 Videos
  • LINEAR COMBINATION OF VECTORS, DEPENDENT AND INDEPENDENT VECTORS

    CENGAGE ENGLISH|Exercise DPP 1.2|10 Videos

Similar Questions

Explore conceptually related problems

Evaluate lim_(xto0) (logcosx)/(x)

Evaluate Lim_(x to 0) (log (a+x) - log(a-x))/x , a gt 0

Evaluate: lim_(xto0)(log(e^(x)-x))/(1-cosx)

Evaluate: lim_(xto0)(log(1-3x))/(5^(x)-1)

Evaluate: ("lim")_(xvec0)(log(5+x)-"log"(5-x))/x

The value of lim_(x to 0) (log (5 + x) - log (5 - x))/(x) equals

Evaluate lim_(x to 0) (sinx+log(1-x))/(x^(2)).

Evaluate : lim_(xto0) (e^(x) -e^(-x))/x

Evaluate lim_(xto0) (e^(x)-e^(-x)-2x)/(x-sinx).

Evaluate lim_(xto0) (e^(x^(2))-cosx)/(x^(2))