Answer:
Step-by-step explanation:
For the limit of a function to exist, then the right hand limit of the function must be equal to its left hand limit as shown;
If the function is f(x), for f(x) to exist then;

Given the function;

Lets check if the above statement is true.
The right hand limit of the function occurs at x> 9
f(x) = 9-x

The left hand limit occurs at x<9
f(x) = x+9

From the above calculation, it can be seen that
, this shows that the function given does not exist at the given point.
Answer:
30÷4
Step-by-step explanation:
Answer:
So the value of s = 7
cm
Step-by-step explanation:
We know that, Area of a triangle = 1/2 * b * h
So, base = 24 cm
height = s
Area = 1/2 * b * h
=>84 = 1/2 * 24 * h
=>84 = 12 * h
=>84 / 12 = h
=> 7 = h (in cm)
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An arithmetic sequence (a_n) is as follows:

where

is the first term and d is the constant difference,
thus, we see that the n'th term of an arithmetic sequence is

in our particular case d=5, the third term is 8, so we have:

and the general term is

,
Answer: first term is -2, n'th term is -2+5(n-1)