Answer with Step-by-step explanation:
We are given that 
We have to prove that why the limit x approaches 0(csc(x)-cot(x)) involves an indeterminate form and prove that the limit equals to 0.

Because
and


We know that cos 0=1 and sin 0=0
Substitute the values then we get

We know that
is indeterminate form
Hence, the limit x approaches 0(csc(x)-cot(x)) involves an indeterminate form.
L'hospital rule:Apply this rule and differentiate numerator and denominator separately when after applying
we get indeterminate form
Now,using L' hospital rule

because 
Now, we get



Hence,
Answer:
23.9
Step-by-step explanation:
His route from school to Rhianna's house to his house forms a triangle in which the sides are 7 miles and the hypotenuse is unknown. Solving using the Pythagorean theorem, we find the route from Rhianna's house back home is 7^2+7^2=x^2.
Rounding to the nearest tenth, we now know this route is 9.9 miles. Adding the total distances from each location, we get an answer of 7 + 7 + 9.9 = 23.9.
20 + -14 = 6
I hope I helped you
Answer:
m= 1/2
Step-by-step explanation: