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4 years ago

Estimate the limit. Picture below

Mathematics

1 answer:

djyliett [7]4 years ago

7 0

Answer:

d. lim f(x) = -0.5

x-->0

Step-by-step explanation:

Given:

lim [√(1 - x) - 1] / x

x -->0

When we directly substitute the limit x =0, we get

= 0/0 which is indeterminate form.

Now we have to use the L'hospital rule.

This is nothing but we need to differentiate the numerator and the denominator and apply the limit

d/dx (√1 - x) - 1= 1/2(√1 - x)^-1/2 (-1)

= -1/2√(1 - x)

Now we can apply the limit

lim -1/2(1 - x)^1/2 = -1/2 (1-0)^1/2

= -1 / 2(1)^1/2

= -1/2

= -0.5

Hope you understand the concept.

Thank you.

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Harlamova29_29 [7]

Answer:

This is your answer

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3 years ago

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3 years ago

Read 2 more answers

Hester sells televisions. She earns a fixed amount for each television and an additional $ 15 if the buyer gets an extended war

tiny-mole [99]

Answer:

$y =mx +bx$

Where y is the total amount earned, m the amount for each extended warranty and b the fixed cost and x the total amount of TVs

For this case the value of x = 16 since we have 16 Tvs with extended warranties and we can do this:

$1200 = 15*16 +16b$

and solving for b we got:

$b= \frac{1200-15*16}{16}= 60$

And then we can conclude that she earns 60 for each TV

Step-by-step explanation:

For this case we can set a linear model like this:

$y =mx +bx$

Where y is the total amount earned, m the amount for each extended warranty and b the fixed cost and x the total amount of TVs

For this case the value of x = 16 since we have 16 Tvs with extended warranties and we can do this:

$1200 = 15*16 +16b$

and solving for b we got:

$b= \frac{1200-15*16}{16}= 60$

And then we can conclude that she earns 60 for each TV

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3 years ago

How many real roots and how many complex roots does this expression have?<br> (x+7)^7

Feliz [49]

Answer:

One real root, with multiplicity 7.

Step-by-step explanation:

The given expresion is

${(x + 7)}^{7}$

This is a seventh degree polynomial.

According to the fundamental theorem of Algebra, the expression has a potential 7 roots both real and complex.

This expression has one real root, with multiplicity , 7.

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3 years ago