Answer:
The limit leads to a determinate form.
![\lim_{x \to \infty} \frac{2}{-x+3} = 0](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7B2%7D%7B-x%2B3%7D%20%3D%200)
Step-by-step explanation:
The following are indeterminate forms.
![\frac{0}{0} \ and \ \frac{\infty}{\infty}](https://tex.z-dn.net/?f=%5Cfrac%7B0%7D%7B0%7D%20%5C%20and%20%5C%20%5Cfrac%7B%5Cinfty%7D%7B%5Cinfty%7D)
Given the limit of a function
, to show if the given limit is determinate or indeterminate form, we will need to substitute the value of -
into the function as shown,
![\lim_{x \to \infty} \frac{2}{-x+3}\\= \frac{2}{-(-\infty)+3}\\= \frac{2}{\infty+3}\\= \frac{2}{\infty}\\\\Generally, \ \frac{a}{\infty} =0](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7B2%7D%7B-x%2B3%7D%5C%5C%3D%20%5Cfrac%7B2%7D%7B-%28-%5Cinfty%29%2B3%7D%5C%5C%3D%20%5Cfrac%7B2%7D%7B%5Cinfty%2B3%7D%5C%5C%3D%20%20%5Cfrac%7B2%7D%7B%5Cinfty%7D%5C%5C%5C%5CGenerally%2C%20%5C%20%5Cfrac%7Ba%7D%7B%5Cinfty%7D%20%3D0)
where a is any constant, therefore ![\frac{2}{\infty} = 0](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B%5Cinfty%7D%20%3D%200)
Since we are able to get a finite value i.e 0, this shows that the limit does exist and leads to a determinate form
Answer:
i am smart
Step-by-step explanation:
you have to divide the 4squareroot2 by 5squareroot2 to get x
Answer:
Expression is '98 divided by 0.005' i.e.
.
Step-by-step explanation:
We have that,
The quotient of 8 divided by 0.001 is given by,
=
= 8000.
It is required to find a division expression having quotient greater than 8000.
Let us consider,
'98 divided by 0.005'
i.e. ![\frac{98}{0.005}](https://tex.z-dn.net/?f=%5Cfrac%7B98%7D%7B0.005%7D)
i.e. ![\frac{98\times 1000}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B98%5Ctimes%201000%7D%7B5%7D)
i.e. 98 × 200
i.e. 19,600
Thus, the get the quotient of the new expression 19,600 > 8000.
Hence, the required expression is '98 divided by 0.005' i.e.
.
Answer:
Step-by-step explanation:
<u>Find the reciprocal of 1/40:</u>
<u>That's really it.</u>
Your answer is 40 (D).
Answer:625
625 in delta math
Step-by-step explanation: