Find the limit. use l'hospital's rule where appropriate. if there is a more elementary method, consider using it. lim x → (π/2)+ cos(x) 1 − sin(x)

The limit of the function at x approaches to is .

Step-by-step explanation:

Consider the information:

If we try to find the value at we will obtained a form. this means that L'Hôpital's rule applies.

To apply the rule, take the derivative of the numerator:

Now, take the derivative of the denominator:

Therefore,

Since, tangent function approaches -∞ as x approaches to

, therefore, the original expression does the same thing.

Hence, the limit of the function at x approaches to is .

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.

step-by-step explanation: