Select Goal &
City
Select Goal
Explore
Question:
$ \lim_{π₯β\infty}(1+\frac{1}{x})$ is equal to
$ \lim_{π₯β\infty}(1+\frac{1}{x})$ is equal to
Show Hint
32
Updated On: Oct 1, 2024
- e
- 1/e
- 1
- $ \infty $
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The correct answer is (A) : e
Was this answer helpful?
0
0
Top Questions on Limits
- If \(lim_{x\rightarrow 0} \frac{\sqrt 1 + \sqrt{1+x^4}-\sqrt 2}{x^4}=A\) and \(lim_{x \rightarrow 0} \frac{sin^2x}{\sqrt 2 - \sqrt{1+cosx}}=B\), then \(AB^3\) = ____.
- Let \(k\in R\). If \(\)\(\)\(\)\(\lim\limits_{xβ0+}(\sin(\sin kx)+\cos x+x)^{\frac{2}{x}}=e^6\), then the value of k is
- Let S be the set of all \((Ξ±, Ξ²) β \R\times\R\) such that
\(\lim\limits_{x\rightarrow\infin}\frac{\sin(x^2)(\log_ex)^\alpha\sin(\frac{1}{x^2})}{x^{Ξ±Ξ²}(\log_e(1+x))^Ξ²}=0\)
Then which of the following is (are) correct ? - \(\lim\limits_{xβ0} \frac {e^{|2sinx|}-2|sinx|-1}{x^2}\) is
- Evaluate the following limit :
\(\lim\limits_{x\rightarrow0}\frac{\text{ln}((x^2+1)\cos x)}{x^2}\) = ________.
View More Questions
Questions Asked in IIT JAM EN exam
- Consider a Keynesian Cross Model with following features,
Consumption Function: C = C0 + b(Y-T)
Tax Function: T = T0 + tY
Income Identity: Y = C + I0 + G0
Where, C = Consumption; Y = Real Income; T = Tax; I = Investment;
G = Government Expenditure; b = Parameter; t = Tax Rate
(The subscript 0 (zero) indicates that the concerned variable is autonomous)
If b = 0.7 and t = 0.2, value of the Keynesian multiplier is ________ (round off to 2 decimal places).- IIT JAM EN - 2024
- Business cycles and economic models
- Using the following table,
Year Population of the Economy GDP of the Economy (in crore) 2010 20,000 25,000 2020 25,000 40,000
the average growth rate (compounded annually) of per capita GDP in an economy during the period 2010-2020 is ________ (in percent, round off to 2 decimal places).- IIT JAM EN - 2024
- Growth models
- GDPF = Gross Domestic Product at Factor Cost; GDPM = Gross Domestic Product at Market Price; NNPF= Net National Product at Factor Cost; C = Consumption; I = Investment; G = Government Expenditure; X = Export; M = Import; T = Tax; S = Saving; D = Depreciation; NIA = Net Income from Abroad
Which of the following expressions is/are CORRECT?- IIT JAM EN - 2024
- National Income Accounting
- Let $X_1, X_2, β¦ , X_π$ be a random sample of size n > 1 drawn from a probability distribution having mean $\mu$ and non-zero variance $\sigma^2$. Then, which of the following is/are CORRECT?
- IIT JAM EN - 2024
- Probability
- Let a random variable X has mean $\mu_x$ and non-zero variance $ \sigma ^2 _x$, and another X random variable Y has mean $\mu_y$ and non zero variance $\sigma ^2 _y$. If the correlation Y coefficient between X and Y is $\rho$, then which of the following is/are CORRECT?
- IIT JAM EN - 2024
- Probability
View More Questions
SUBSCRIBE TO OUR NEWS LETTER
COLLEGE NOTIFICATIONSEXAM NOTIFICATIONSNEWS UPDATES
Download the Collegedunia app on 
Β© 2024 Collegedunia Web Pvt. Ltd. All Rights Reserved