Question
$\lim _{x \rightarrow-1} \frac{x^3+1}{x+1}$

Answer

$3$

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

Similar questions

Obtain the derivative of the following functions by using definition: $\frac{x^{3}}{3 a}$
According to the survey of a company manufacturing school uniforms, the average waist size of students of a school is $66 cm$ and its standard deviation is $5\ cm$. What will be the percentage of students having waist size $(1)$ more than $72\ cm ?\ (2)$ less than $62 cm$ ? $($Use normal distribution.$)$
The variance of the distribution of a normal variate $X$ is $400 .$ If for some value $x_{1}= 225$ of $X$, the corresponding value of standard normal variate $Z$ is $z_{1}=-1.25$, find the mean of the distribution and $P[210 \leq X \leq 290]$.
Find $f^{\prime}(x)$ if $f(x)=\left(x^{2}+3 x+4\right)^{7}$
$\text { Using tabular method, show that } \lim _{x \rightarrow 3} \frac{2}{x-3} \text { does not exist. }$
$\lim _{x \rightarrow-1} \frac{x^3+27}{x^2-9} $
$4$ couples $($husband-wife$)$ attend a party. Two persons are randomly selected from these $8$ persons. Find the probability that the selected persons are $(1)$ husband and wife, $(2)$ one man and one woman, $(3)$ one man and one woman who are not husband and wife.
Calculate cost of living index number from the data about the percentage price relatives and their weights for different groups given in the following table.
Year $2012$ $2013$ $2014$ $2015$ $2016$ $2017$ $2018$
Wages $(₹)$ $460$ $500$ $580$ $600$ $620$ $710$ $750$
Cost of living index number $100$ $110$ $118$ $124$ $135$ $135$ $140$
$3$ bulbs are defective in a box of $10$ bulbs. $2$ bulbs are randomly selected from this box. These bulbs are fixed in two bulb holders installed in a room. Find the probability that the room will be lighted after starting the electric supply. OR Draw Venn diagram for the following events $;(1)$ Mutually exclusive events. $(2)$ Union of events. $(3)$ Intersection of events.
$\lim _{x \rightarrow-\frac{1}{2}} \frac{2 x^2-3 x-2}{2 x^2-5 x-3}$