Question

# If then has the value

none of these

none of these

Hint:

### We can apply L'Hopital's rule, also commonly spelled L'Hospital's rule, whenever direct substitution of a limit yields an indeterminate form. This means that the limit of a quotient of functions (i.e., an algebraic fraction) is equal to the limit of their derivatives.

In this question, we have to find value of If then .

## The correct answer is: none of these

### If then

We first try substitution:

Since the limit is in the form 0 over 0, it is indeterminate—we don’t yet know what is it. We need to do some work to put it in a form where we can determine the limit.

We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or

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We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means

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# If the radius of the opening of the dropper is $r$, the vertical force due to the surface tension on the drop of radius $R$ (assuming $r<<R$) is:

# If the radius of the opening of the dropper is $r$, the vertical force due to the surface tension on the drop of radius $R$ (assuming $r<<R$) is:

### where a,b,c are real and non-zero=

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The basic problem of this indeterminate form is to know from where tends to one (right or left) and what function reaches its limit more rapidly.