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Ludmilka [50]
3 years ago
6

Evaluate the following limit.

Mathematics
1 answer:
Rus_ich [418]3 years ago
7 0

Answer:

-191

Step-by-step explanation:

A limit is the value that a function approaches as the input approaches some value.

We say \displaystyle \lim_{x\rightarrow a}f(x)=L if f(x) approaches to L as x approaches to a.

To find:\displaystyle \lim_{x\rightarrow -4}2x^3-4x^2+2x+9

Solution:

Let f(x)=2x^3-4x^2+2x+9

On putting x = -4 in function f(x)=2x^3-4x^2+2x+9, we get

\displaystyle \lim_{x\rightarrow -4}2x^3-4x^2+2x+9\\=2(-4)^3-4(-4)^2+2(-4)+9\\=2(-64)-4(16)-8+9\\=-128-64-8+9\\=-128-63\\=-191

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First one: 3/4 = __/8 

to get 8, they did 4*2 
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3*2=6 
the first answer is - 3/4 = 6/8

the second one: 3/8 + 3/4 
we need to find the LCD (Lowest Common Denominator) 
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the LCD is 8, now we just need to add the numerators 

3/8 + 3/8 = 9/8

we could covert it into a mixed fraction 

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i hope this helped!!
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The least common multiple, or LCM, is another number that's useful in solving many math problems. Let's find the LCM of 30 and 45. One way to find the least common multiple of two numbers is to first list the prime factors of each number.

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45 = 3 × 3 × 5

Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

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After you've calculated a least common multiple, always check to be sure your answer can be divided evenly by both numbers.

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