Evaluate the following limits: _ y 1 [2 y-2 [3] 7+y -2 ] - Vidyadip

Question

Evaluate the following limits:

$\lim _{y \rightarrow 1}\left[\frac{2 y-2}{\sqrt[3]{7+y}-2}\right]$

✓

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

Explore more

More "Solve the Following Question.(3 Marks)" from Limits (p-1)→Limits (p-1) — all question types→Maths (commerce) STD 11 Commerce / Arts question papers→Maharashtra Board STD 11 Commerce / Arts question papers→Maharashtra Board question paper generator→

Similar questions

Evaluate the following:

$\lim _{x \rightarrow 0}\left[\frac{3+x}{3-x}\right]^{\frac{1}{x}}$

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.

For a G. P., : if $\mathrm{t}_3=20, \mathrm{t}_6=160$, find $\mathrm{S}_7$.

Evaluate the following Limits : $\lim _{x \rightarrow 1}\left[\frac{x^3-1}{x^2+5 x-6}\right]$

Find the value(s) of k, if the following equations are consistent.

(i) 3x + y – 2 = 0, kx + 2y – 3 = 0 and 2x – y = 3

Find the differences between the largest values in the following: ${ }^{13} \mathrm{C}_{\mathrm{r}}-{ }^8 \mathrm{C}_{\mathrm{r}}$

If $\alpha$ and $\beta$ are the complex cube roots of unity, show that $\alpha^2+\beta^2+\alpha \beta=0$.

Find the sum to n terms: 0.7 + 0.77 + 0.777 + …..

Compute the arithmetic mean and S.D. and C.V. (Given √296 = 17.20)

C.I.	45-55	55-65	65-75	75-85	85-95	95-105
F	4	2	5	3	6	5

If the origin is shifted to the point O'(2, 3), the axes remaining parallel to the original axes, find the new co-ordinates of the points (a) A(1, 3) (b) B(2, 5)