<span>If you plug in 0, you get the indeterminate form 0/0. You can, therefore, apply L'Hopital's Rule to get the limit as h approaches 0 of e^(2+h),
which is just e^2.
</span><span><span><span>[e^(<span>2+h) </span></span>− <span>e^2]/</span></span>h </span>= [<span><span><span>e^2</span>(<span>e^h</span>−1)]/</span>h
</span><span>so in the limit, as h goes to 0, you'll notice that the numerator and denominator each go to zero (e^h goes to 1, and so e^h-1 goes to zero). This means the form is 'indeterminate' (here, 0/0), so we may use L'Hoptial's rule:
</span><span>
=<span>e^2</span></span>
309× 29 = 8,961 is totally answer
Answer:
y - 5 = -3(x + 2)
General Formulas and Concepts:
<u>Algebra I</u>
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
Slope <em>m</em> = -3
Point (-2, 5)
<u>Step 2: Write function</u>
- Substitute: y - 5 = -3(x + 2)
Good evening ,
Answer:
The weight : 29 pound
Alan would pay for his dinner : $130
Step-by-step explanation:
Let x represent the weight of the lobster
the cost of the dinner at restaurant 1 is 4x + 14
the cost of the dinner at restaurant 2 is 3x + 43
Now ,we have to solve the equation : 4x + 14 = 3x + 43
4x + 14 = 3x + 43
⇔ x = 43 - 14
⇔ x = 29
In this case Alan would pay the same amount for his dinner at any restaurant:
the price = 4×(29)+14 = 130
= 3×(29)+43 = 130.
:)
When 2n is divided by 4 the remainder will be 2
Division is a simple operation in which a number is divided.
Given,
A whole number n which when divided by 4 gives 3 as remainder
We know,
Dividend = (Divisor × quotient)+ Remainder
Here,
Dividend = n
Quotient = 4
Remainder =3
Consider the divisor as a
Then,
n = 4a+3
Multiply both side by 2
2n= 2(4a+3)
2n= 8a+6
Split the term 6 and take common outside
2n= 8a+4+2
2n= 4(2a+1)+2
So, when 2n is divided by 4
Divisor = 2a+1
Remainder = 2
Hence, when 2n is divided by 4 the remainder will be 2
Learn more about division here
brainly.com/question/21416852
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