Maths-

General

Easy

Question

Hint:

### In the question we will first use the L hospital theorem, . Then we will put the value of x to get the answer.

## The correct answer is:

using L hospital theorem,

### Related Questions to study

physics-

### A projectile is thrown at an angle of to the horizontal from point . At the same time, another projectile is thrown with velocity upwards from the point vertically below the highest point. For to collide with should be

Equating velocities along the vertical,

### A projectile is thrown at an angle of to the horizontal from point . At the same time, another projectile is thrown with velocity upwards from the point vertically below the highest point. For to collide with should be

physics-General

Equating velocities along the vertical,

Maths-

using L hospital theorem,

Maths-General

using L hospital theorem,

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### A current carrying loop is placed in the nonuniform magnetic field whose variation in space is shown in figure Direction of magnetic field is into the plane of paper the magnetic force experienced by the loop is

### A current carrying loop is placed in the nonuniform magnetic field whose variation in space is shown in figure Direction of magnetic field is into the plane of paper the magnetic force experienced by the loop is

physics-General

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### A particle of charge +q and mass m moving under the influnce of a uniform electric field and a uniform magnetic field follows trajectory from P to Q as shown in figure The velocities at P and Q and respectively Which of the following statement(s) is/are correct

### A particle of charge +q and mass m moving under the influnce of a uniform electric field and a uniform magnetic field follows trajectory from P to Q as shown in figure The velocities at P and Q and respectively Which of the following statement(s) is/are correct

physics-General

chemistry-

### The products formed in the following reaction, are:

### The products formed in the following reaction, are:

chemistry-General

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### A man 80 kg is supported by two cables as shown in the figure. Then the ratio of tensions and is

From figure in equilibrium position

or

or

or

or

### A man 80 kg is supported by two cables as shown in the figure. Then the ratio of tensions and is

physics-General

From figure in equilibrium position

or

or

or

or

maths-

maths-General

Maths-

using L hospital theorem,

Maths-General

using L hospital theorem,

Maths-

using L hospital theorem,

Maths-General

using L hospital theorem,

chemistry-

Oxygen atom of ether is:

Oxygen atom of ether is:

chemistry-General

physics-

### A long current carrying wire, carrying current such that it is flowing out from the plane of paper, is placed at O A steady state current is flowing in the loop ABCD

### A long current carrying wire, carrying current such that it is flowing out from the plane of paper, is placed at O A steady state current is flowing in the loop ABCD

physics-General

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### A loop carrying current I lies in the x-y plane as shown in fig The unit vector $\widehat{k}$ is coming out of the plane of the paper The magnetic moment of the current loop is

### A loop carrying current I lies in the x-y plane as shown in fig The unit vector $\widehat{k}$ is coming out of the plane of the paper The magnetic moment of the current loop is

physics-General

physics-

### A particle originally at rest at the highest point of a smooth vertical circle is slightly displaced. It will leave the circle at a vertical distance $h$ below the highest point such that

### A particle originally at rest at the highest point of a smooth vertical circle is slightly displaced. It will leave the circle at a vertical distance $h$ below the highest point such that

physics-General

physics-

### In figure, a particle is placed at the highest point $A$ of a smooth sphere of radius $r$. It is given slight push, and it leaves the sphere at $B$, at a depth $h$vertically below $A$ such that $h$ is equal to

If $v$ velocity acquired at $B$, then
${v}^{2}=2gh$
The particle will leave the sphere at $B$, when
$\frac{m{v}^{2}}{r}\ge mg\mathrm{cos}\theta $
$\frac{2gh}{r}=\frac{g(r-h)}{r},$
Which gives $h=\frac{r}{3}$

### In figure, a particle is placed at the highest point $A$ of a smooth sphere of radius $r$. It is given slight push, and it leaves the sphere at $B$, at a depth $h$vertically below $A$ such that $h$ is equal to

physics-General

If $v$ velocity acquired at $B$, then
${v}^{2}=2gh$
The particle will leave the sphere at $B$, when
$\frac{m{v}^{2}}{r}\ge mg\mathrm{cos}\theta $
$\frac{2gh}{r}=\frac{g(r-h)}{r},$
Which gives $h=\frac{r}{3}$

Maths-

Maths-General