3 years ago

Find the explicit formula for the nth term of the 2/9,0,2/9,0,......

1 answer:

8 0

The odd-numbered terms are $\dfrac19+\dfrac19$ , while the even-numbered terms are $\dfrac19-\dfrac19$ , so one formula for the sequence is

$a_n=\dfrac19\left(1+(-1)^{n+1}\right)$

where $n\ge1$ .

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Use l'Hôpital's Rule to find the following limit. ModifyingBelow lim With x right arrow 0StartFraction 3 sine (x )minus 3 x Ove

steposvetlana [31]

Answer:

$\lim_{x \to 0} \frac{3sinx-3x}{7x^3}=-\frac{1}{14}$

Step-by-step explanation:

The limit is:

$\lim_{x \to 0} \frac{3sinx-3x}{7x^3}=\frac{0}{0}$

so, you have an indeterminate result. By using the l'Hôpital's rule you have:

$\lim_{x \to 0} \frac{a(x)}{b(x)}= \lim_{x \to 0} \frac{a'(x)}{b'(x)}$

by replacing, and applying repeatedly you obtain:

$\lim_{x \to 0} \frac{3sinx-3x}{7x^3}= \lim_{x \to 0}\frac{3cosx-3}{21x^2}= \lim_{x \to 0}\frac{-3sinx}{42x}= \lim_{x \to 0}\frac{-3cosx}{42}\\\\ \lim_{x \to 0} \frac{3sinx-3x}{7x^3}=\frac{-3cos0}{42}=-\frac{1}{14}$

hence, the limit of the function is -1/14

8 0

3 years ago

The variable z is directly proportional to x. When x is 16, z has the value 176. What is the value of z when x = 24?

kow [346]

Answer: z = 264

Step-by-step explanation:

x to z = 16 to 176

x = 24 to ?

16/176 = 24/z

cross-multiply solve for z

z = 264

8 0

3 years ago

Uh help it has to e same answers for all liek yk?

Finger [1]

Answer:

x = 8/3

Step-by-step explanation:

6x + 4 = 3x + 12

3x + 4 = 12

3x = 8

x = 8/3

5 0

3 years ago

Both questions are on the picture

olga2289 [7]

Answer:

the first one is m, the second one is 5

5 0

3 years ago

Read 2 more answers

The total value of the dimes and quarters in a bank is $23.70. There are eight fewer dimes than quarters. Find the number of dim

Vinvika [58]

Answer:

what i have to say is try to use a caculator lol

Step-by-step explanation:

8 0

4 years ago