Question:
Evaluate
limₙtₒᵢₙfty(aⁿ+bⁿ)/(aⁿ-bⁿ), where a>b>1
Evaluate
limₙtₒᵢₙfty(aⁿ+bⁿ)/(aⁿ-bⁿ), where a>b>1
Show Hint
For limits with powers, divide by the highest power.
Updated On: Mar 19, 2026
- \(-1\)
- \(1\)
- \(0\)
- None of these
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Dividing numerator and denominator by aⁿ:
(1+(b/a)ⁿ)/(1-(b/a)ⁿ)
Since 0<(b)/(a)<1,
(b/a)ⁿ\to0
Limit =1.
Was this answer helpful?
0
0
Top BITSAT Quantitative Aptitude Questions
- If α,β are the roots of x²-2x-1=0, then the value of α²β²-α²-β² is
- If a,b,c are real numbers then the roots of the equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are always
- If a,b are non-zero roots of x²+ax+b=0, then the least value of x²+ax+b is
- If α,β are the roots of the equation x²-2x-1=0, then the value of α²β²+α-α²β² is
- If a,b,c are real numbers then the roots of (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are always
View More Questions
Top BITSAT Limits Questions
Top BITSAT Questions
- Two point charges $-q$ and $+ q$ are located at point's $(0, 0, - a)$ and, $(0, 0, a)$ respectively. The electric potential at a point $(0, 9, z)$, where $z > a$ is
- Which of the following must be known in order to determine the power output of an automobile?
- A large drop of oil (density $0.8 \,g / cm ^{3}$ and viscosity $\eta_{0}$ ) floats up through a column of another liquid (density $1.2\, g / cm ^{3}$ and viscosity $\eta_{L}$ ). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on :
- A body is projected vertically upwards at time $ t = 0$ and it is seen at a height $H$ at time $t_1$ and $t_2$ second during its flight. The maximum height attained is ($g$ is acceleration due to gravity)
- At what point of a projectile motion, acceleration and velocity are perpendicular to each other ?
View More Questions