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 .

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

answer: b

step-by-step explanation: