Home
Class 11
MATHS
Evaluate Lt(xtooo)(1+1/(ax+b))^(cx+d) wh...

Evaluate `Lt_(xtooo)(1+1/(ax+b))^(cx+d)` where a, b, c, d are positive constants.

Text Solution

Verified by Experts

The correct Answer is:
`e^(c//a)`
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    AAKASH SERIES|Exercise EXERCISE-2.1 (VERY SHORT ANSWER QUESTIONS)|20 Videos
  • LIMITS

    AAKASH SERIES|Exercise EXERCISE-2.1 (SHORT ANSWER QUESTIONS)|17 Videos
  • LIMITS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos
  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIOS)|5 Videos
  • LOCUS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

Evaluate Lt_(xtooo)((x^(2)+ax+b)/(x^(2)+cx+d))^(x) where a, b, c, d are constants.

Evaluate Lt_(xto0)(1+ax)^(b//x) where a, b are constants.

Evaulate Lt_(x to 0)(1+ax)^(b//x) where a,b are constants.

Find Lt_(xtooo)((x+a)/(x+b))^(x) , a, b are constants.

Evaluate Lt_(xto0)((a^(x)+b^(x)+c^(x))/3)^(1/x) where a,b,cinR^(+) .

Statement 1: The joint equation of lines y = x and y = -x is y^(2) = -x^(2) , i.e., x^(2)+y^(2)=0 Statement 2 : The joint equation of lines ax+by=0 and cx+dy=0 is (ax+by)(cx+dy)=0 where a, b, c, d are constant

Show that Lt_(xto0)(a^(x)-1)/(b^(x)-1)=log_(b)a where a and b are positive numbers other than unity.

Find Lt_(xtooo)((2x+3)/(3x-1)) .

Evaluate the following limits : Lt_(xtooo)(1+1/x)^(2x)

Find Lt_(x to oo)([ax+b])/(x) (a gt 0) where [.] denotes the GIF.