Evaluate _ x 1 (x^n-1 x-1 ) : - Vidyadip

MCQ

Evaluate $\lim _{x \rightarrow 1}\left(\frac{x^n-1}{x-1}\right)$ :

A
$n^2$
✓
$n$
C
$n-1$
D
$n+1$

✓

Answer

Correct option: B.

$n$

B

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from PART - 2 CH - 12 Limits and Derivatives→PART - 2 CH - 12 Limits and Derivatives — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

In an increasing geometric progression ol positive terms, the sum of the second and sixth terms is $\frac{70}{3}$ and the product of the third and fifth terms is $49$. Then the sum of the $4^{\text {th }}, 6^{\text {th }}$ and $8^{\text {th }}$ terms is :-

If the normals of the parabola $y^2=4 x$ drawn at the end points of its latus rectum are tangents to the circle $(x-3)^2+(y+2)^2=r^2$, then the value of $r^2$ is

If $\text{f(x)}=\frac{\text{x}^\text{n}-\text{a}^\text{n}}{\text{x}-\text{a}},$ then $\text{f}'\text{(a)}$ is:

If ${^\text{20}}\text{C}_{\text{r}}={^\text{20}}\text{C}_{\text{r-10}}$ is then ${^\text{18}}\text{C}_{\text{r}}$ equal to:

Let the hyperbola $H : \frac{ x ^{2}}{ a ^{2}}-\frac{ y ^{2}}{ b ^{2}}=1$ pass through the point $(2 \sqrt{2},-2 \sqrt{2})$. A parabola is drawn whose focus is same as the focus of $H$ with positive abscissa and the directrix of the parabola passes through the other focus of $H$. If the length of the latus rectum of the parabola is e times the length of the latus rectum of $H$, where $e$ is the eccentricity of $H$, then which of the following points lies on the parabola?

If A and B are the sums of odd and even terms respectively in the expansion of $(\text{x}+\text{a})^{\text{n}},$ then $(\text{x}+\text{a})^{\text{2n}}-(\text{x}-\text{a})^{2\text{n}}$ is equal to:

If for real values of $x,\cos \theta = x + \frac{1}{x},$ then

The value of $\mathop {\lim }\limits_{n \to \infty } \frac{{{x^n}}}{{{x^n} + 1}}$ where $x < - 1$ is

Let $a, b \in R$. Let the mean and the variance of $6$ observations $-3,4,7,-6$, $a,\ b$ be $2$ and $23$ , respectively. The mean deviation about the mean of these $6$ observations is :

Evaluate $\underset{\text{x}\, \rightarrow\,3}{\lim}\, (4\text{x}^2\, +\, 3)$