_ x 5 [1 x-5 -5 x^2-5 x ] - Vidyadip

Question

$\lim _{x \rightarrow 5}\left[\frac{1}{x-5}-\frac{5}{x^2-5
x}\right]$

✓

Answer

$\frac{1}{5}$

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 "3 Marks Each" from PART 2 : LIMIT→PART 2 : LIMIT — all question types→Statistics STD 12 Commerce question papers→Gujarat Board STD 12 Commerce question papers→Gujarat Board question paper generator→

Similar questions

Find derivative of $f ( x )=x^{10}$ using definition.

Variables $X$ and $Y$ are mutually dependent variables. Following information is collected using the substitutions $u=x-55$ and $v=y-120$ : sample size $=9, \Sigma u=$ $-8, \Sigma v=6, \Sigma u^{2}=40, \Sigma v^{2}=24 ; \Sigma u v=-30$, obtain the regression line of $Y$ on $x$.

If $P\left(A^{\prime}\right)=\frac{7}{25}, P(B / A)=\frac{5}{12}$ and $P(A / B)=\frac{1}{2}$ for two events $A$ and $B$ in the sample space of a random experiment then find $P(A \cap B)$ and $P(B)$.

The following results are obtained while studying the two related variables $X$ and $Y$. Obtain the regression line of $Y$ on $X$ from it. $n=10, \Sigma x y=17880, \Sigma x=300, \bar{y}=50$ and $S_x=12$ If $X=40$ find $\hat{y}$.

Fit a linear equation from the following data for variable (y) of a time series $ n=4, \sum y=270, \sum ty=734 $.

Among $40$ students studying in a class, $30$ are boys and $10$ are girls, $18$ boys and $4$ girls got $A ^{+}$grade in an examination. A student is selected from this class. Find probability that the student is a boy or a student having $A ^{+}$grade.

The distribution of a random variable X is $p (x)=K•^5P_x, x=0, 1, 2, 3, 4, 5$. Find constant K and mean of this distribution.

$\lim _{x \rightarrow 3} \frac{x^2+x-12}{x^2-x-6}$

What do you mean by trend in time series? Explain with an illustration.

Find the values of the following :
$\lim _{x \rightarrow-2} \frac{x^{10}-1024}{x^5+32}$