Home
Class 11
MATHS
Evalute lim(xrarr1) (x^(15)-1)/(x^(10)-1...

Evalute `lim_(xrarr1) (x^(15)-1)/(x^(10)-1)`

Text Solution

Verified by Experts

`lim_(xto1)(x^(15)-1)/(x^(10)-1)=lim_(xto1){((x^(15)-1)/(x-1))div((x^(10)-1)/(x-1))}`
`=lim_(xto1)((x^(15)-1)/(x-1))divlim_(xto1)((x^(10)-1)/(x-1))`
`implies(15xx10^(14))div(10xx1^(9))=15/10=3/2.`
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    RS AGGARWAL|Exercise EXERCISE 27A|40 Videos

  • LIMIT

    RS AGGARWAL|Exercise EXERCISE 27B|72 Videos

  • LIMIT

    RS AGGARWAL|Exercise EXERCISE 27C|15 Videos

  • HYPERBOLA

    RS AGGARWAL|Exercise EXERCISE 24|23 Videos

  • LINEAR INEQUATIONS (IN ONE VARIABLE)

    RS AGGARWAL|Exercise EXERCISE 6B|12 Videos

Similar Questions

Explore conceptually related problems

Lim_(x rarr1)(x^(15)-1)/(x^(10)-1)

Find the following limits : lim_(xrarr1) {(x^(1/5)-1)/(x^(1/100)-1)}

lim_(xrarr0) ((x+1)^(5)-1)/(x)

Evaluate: lim_(xrarr1) (x-1)/(2x^(2)-7x+5)

Evaluate lim_(xrarr0) (1+x)^(1/x)

Evaluate lim_(xrarr0)((1+x)^(n)-1)/(x)

Evalute lim_(xrarr0)((e^(3x)-1)/(x)).

lim_(xrarr-1) (x^(10)+x^(5)+1)/(x-1)

lim_(xrarr1)(x^(m)-1)/(x^(n)-1) is equal to

Evaluate: lim_(xrarr1) [(x-2)/(x^(2)-x)-(1)/(x^(3)-3x^(2)+2x)]