Question
Evaluate the following Limits:

$\lim _{x \rightarrow 0}\left[\frac{\log (4-x)-\log (4+x)}{x}\right]$

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

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

Sanjeev started a business investing ₹ 25,000 in 1999. In 2000, he invested an additional amount of ₹ 10,000 and Rajeev joined him with an amount of ₹ 35,000. In 2001, Sanjeev invested another additional amount of ₹ 10,000 and Pawan joined them with an amount of ₹ 35,000. What will be Rajeev’s share in the profit of ₹ 1,50,000 earned at the end of 3rd year from the start of the business in 1999?
A box contains 11 tickets numbered from 1 to 11 . Two tickets are drawn at random with replacement. If the sum is even, find the probability that both the numbers are odd.
Find all pairs of consecutive even positive integers, both of which are larger than 5 such that their sum is less than 23.
A room has 3 sockets for lamps. From a collection of 10 light bulbs, 6 are defective. A person selects 3 at random and puts them in every socket. What is the probability that the room, will be lit?
Find the square roots of : 15 – 8i
Given that $\mathrm{r}=0.4, \sigma_{\mathrm{y}}=3, \sum\left(x_{\mathrm{i}}-\bar{x}\right)\left(y_{\mathrm{i}}-\bar{y}\right)=108, \sum\left(x_{\mathrm{i}}-\bar{x}\right)^2=900$. Find the number of pairs of observations.
The printed price of a shirt is $₹ 390$ . Lokesh pays $₹ 175.50$ for it after getting two successive discounts. If the first discount is $10 \%$, find the second discount.
Find the value(s) of k, if the following equations are consistent.

(ii) kx + 3y + 4 = 0, x + ky + 3 = 0, 3x + 4y + 5 = 0

The following data gives the age of 100 students in a school. Calculate variance and S.D.

Age (In years)

10

11

12

13

14

No. of Students

10

20

40

20

10

Find $\left(70^2-69^2\right)+\left(68^2-67^2\right)+\left(66^2-65^2\right)+\ldots \ldots . .+\left(2^2-1^2\right)$