search
Log In
0 votes

$\displaystyle{}\lim_{x\rightarrow 0}\dfrac{\log_e(1+4x)}{e^{3x}-1}$ is equal to

  1. $0 \\$
  2. $\dfrac{1}{12} \\$
  3. $\dfrac{4}{3} \\$
  4. $1$
in Calculus 24.6k points
recategorized by

Please log in or register to answer this question.

Answer:

Related questions

0 votes
0 answers
$\displaystyle{}\lim_{x\rightarrow \infty }\sqrt{x^2+x-1}-x$ is $0$ $\infty$ $1/2$ $-\infty$
asked Feb 24, 2017 in Calculus Arjun 24.6k points
0 votes
0 answers
If a function is continuous at a point, the limit of the function may not exist at the point the function must be derivable at the point the limit of the function at the point tends to infinity the limit must exist at the point and the value of limit should be same as the value of the function at that point
asked Feb 19, 2017 in Calculus Arjun 24.6k points
0 votes
0 answers
A point P $(1, 3,−5)$ is translated by $2\hat{i}+3\hat{j}-4\hat{k}$ and then rotated counter clockwise by $90^\circ $ about the $z$-axis. The new position of the point is $(−6, 3,−9)$ $(−6,−3,−9)$ $(6, 3,−9)$ $(6, 3, 9)$
asked Feb 24, 2017 in Calculus Arjun 24.6k points
0 votes
0 answers
The value of the line integral $\oint_{c}^{ }\overline{F}.{\overline{r}}'ds$ ,where $C$ is a circle of radius $\dfrac{4}{\sqrt{\pi }}$ units is ________ Here, $\overline{F}(x,y)=y\hat{i}+2x\hat{j}$ and ${\overline{r}}'$ ... $\hat{j}$ are the basis vectors in the $x-y$ Cartesian reference. In evaluating the line integral, the curve has to be traversed in the counter-clockwise direction.
asked Feb 24, 2017 in Calculus Arjun 24.6k points
0 votes
0 answers
The value of $\displaystyle{\lim_{x\rightarrow 0}\left(\frac{-\sin x}{2\sin x+x\cos x}\right)}$ is ________
asked Feb 24, 2017 in Calculus Arjun 24.6k points
...