Home
Class 12
MATHS
Evaluate lim(xto0) ((a^(x)+b^(x)+c^(x))/...

Evaluate `lim_(xto0) ((a^(x)+b^(x)+c^(x))/(3))^(2//x),(a,b,cgt0)`

Text Solution

AI Generated Solution

To evaluate the limit \[ \lim_{x \to 0} \left(\frac{a^x + b^x + c^x}{3}\right)^{\frac{2}{x}}, \quad (a, b, c > 0), \] we can follow these 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_(xto 0)(a^(x)-b^(x))/x

Evaluate : lim_(xto0) (a^(x)-b^(x))/x

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

Evaluate lim_(xto0)|x|^(sinx)

Evaluate lim_(xto0)((ab)^(x)-a^(x)-b^(x)+1)/(x^(2))

Evaluate lim_(xto0)(3^(2x)-2^(3x))/(x).

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

Evaluate lim_(xto0^(+))(sinx)^(x)

Evaluate lim_(xto0)(cosecx)^(x) .

Evaluate lim_(xto0) (e^(x)-1-x)/(x^(2)).