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love history [14]
4 years ago
15

CALC!! Please help me. For which pair of functions f(x) and g(x) below will the limit as x goes to infinity of the product of f

of x and g of x does not equal 0? (I have attached a photo of the multiple choice answers and the question itself)

Mathematics
1 answer:
Marizza181 [45]4 years ago
6 0
First limit:
\lim_{x\to\infty}(10x+e^{-x})*\frac{1}{5x}
=\lim_{x\to\infty}(2+\frac{1}{5xe^{x}})
=2+0
=2

Since we know that the first pair of functions does not approach 0, we do not have to check the others.
You might be interested in
Solve simultaneously for both x and y: 2^x+1=4 and x^2+2y=31​
xz_007 [3.2K]

Answer:

x= y:2^(x) +1 =4

x^(2) + 2y = 31

Step-by-step explanation:

5 0
3 years ago
Find the range of f(x) = -x2 + 1 for the domain {-2, 0, 2}
wariber [46]
Range is just input the domain

so find f(-2), f(0) and f(2)

f(-2)=-(-2)²+1=-4+1=-3
f(0)=-(0)²+1=0+1=1
f(2)=-(2)²+1=-4+1=-3

range={-3,1}
6 0
3 years ago
Azmir's checking account pays 0.75% interest monthly and has a $7.50 service fee. If Azmir's balance last month was $825, find t
svetlana [45]

Answer:

Debit of $ 1.31

Step-by-step explanation:

Here, the initial amount in the account = $ 825,

Monthly interest on the amount = 0.75 % of initial amount

=\frac{825\times 0.75}{100}

=\frac{618.75}{100}

=$ 6.1875

And, the service charge = $ 7.50,

Thus, the final amount = Initial amount + Monthly interest - Service charge

= $ 825 + $ 6.1875 - $ 7.50,

= $ 823.6875

So, the total changes in the amount = final amount -  Initial amount

=  $ 823.6875 - $ 825 = -1.3125 ≈ - 1.31

Since, negative sign shows the amount is debited,

Hence, the amount of debit to his account is $ 1.31.

6 0
3 years ago
Anyone know how to do this?
IrinaVladis [17]
H(x) = x - 5

However, it had a domain of all real numbers such that x does not equal 3, since that would cause you to divide by 0. 
7 0
3 years ago
Read 2 more answers
Help please:(.....................
Vlada [557]
35

area of triangle is (base X height)/2
so it would be (14 X 5)/2
which is 70/2
which is 35
5 0
3 years ago
Read 2 more answers
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