1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
katen-ka-za [31]
3 years ago
14

Evaluate limit: lim x approaches 0 e^(5x)-1-5x/x^2

Mathematics
1 answer:
rosijanka [135]3 years ago
8 0
Lim as x approches 0 of (e^(5x) - 1 - 5x)/x^2 = lim as x approaches 0 of (5e^(5x) - 5)/2x = lim as x approaches 0 of 25e^(5x)/2 = 25/2 = 12.5
You might be interested in
What is the value of x?
vitfil [10]

Answer:

5 cm

Step-by-step explanation:

We know these are similar triangles, so we can use ratios of side lengths

x/40 = 4/32

Using cross products

32x = 4*40

32x = 160

Divide each side by 32

32x/32 = 160/32

x =5

3 0
3 years ago
Scientific notation <br> 0.000003408 =
o-na [289]

Answer:

3.408 × 10-6 i think

Step-by-step explanation:

6 0
3 years ago
When number can each term of the equation be multiplied by to eliminate the fractions before solving 6-3/4x+1/3=1/2x+5​
PolarNik [594]

Answer:

12

Step-by-step explanation:

You need to find the least common denominator (LCD) to all the denominators of the fractions present in the equation. These denominators are (writing them in their prime factor form to make our calculations easier):

4=2^2\\3=3\\2=2

Therefore, we need to include a factor of 3, and two factors of 2 (2^2) in our least common denominator, so this LCD will be a perfectly divided by all three given denominators, therefore eliminating all fractions in the equation.

Our LCD is = 3*2^2=13*4=12

6 0
3 years ago
Plz with steps .. it's very hard can anyone plz
liubo4ka [24]

Answer:

Step-by-step explanation:

\displaystyle\  \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\frac{0}{0} \\\\we\ can \ use\ Hospital's\ Rule\\\\\\f(x)=\sqrt{2x}-\sqrt{3x-a}  \qquad  f'(x)=\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}} \\\\g(x)=\sqrt{x} -\sqrt{a}  \qquad g'(x)=\dfrac{1}{2\sqrt{x}} \\\\\\\displaystyle\  \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\lim_{n \to a} \dfrac{\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}}  }{\dfrac{1}{2\sqrt{x}} }\\\\

\displaystyle \lim_{n \to a} \dfrac{2\sqrt{x} }{\sqrt{2x}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}}  =\lim_{n \to a} \dfrac{2 }{\sqrt{2}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3*\sqrt{a} }{\sqrt{2a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3}{\sqrt{2}}\\\\\\=-\ \dfrac{1}{\sqrt{2}}\\\\

7 0
2 years ago
What value of x is in the solution set of 3(x – 4) &gt; 5x + 2?
bonufazy [111]

We have to simplify and get the value of x from this inequality given:

Given inequality,

3(x - 4) > 5x + 2

Now let's simplify by using distributive property,

3x - 12 > 5x + 2

We need to find x, so let's isolate x to the letter side of the inequality for calculation at ease.

3x - 12 - 5x  - 2 > 0

- 2x - 14 > 0

Now, dividing -2 from both sides.

Note : As we are dividing a negative number from both sides, the sign of the inequality will be <u>reversed</u>.

\dfrac{ - 2x - 14}{ - 2}  >  \dfrac{0}{ - 2}

x + 7 < 0

Now subtracting -7 from both sides,

x + 7 - 7 < 0 - 7

x <  - 7

Or, Interval of the equal (- \infin, -7 ]

#CarryOnLearning

<u>━━━━━━━━━━━━━━━━━━━━</u>

3 0
3 years ago
Other questions:
  • Which value for x makes the sentence true?
    9·2 answers
  • On #15, how do I find the length of EF
    14·1 answer
  • Is the sum of the areas of two smaller squares equal to the area of a large square if the sides lengths of the squares are 8 fee
    9·1 answer
  • Question: What are two steps in solving the inequality 5(x - 2) &lt; 9? Choose all that apply.
    5·1 answer
  • Mr. Chang bought 264 pencils to divide evenly among his 22 students. How many pencils did each student receive?
    9·2 answers
  • A painter leans a 20 ft ladder against a building. The base of the ladder is 8 ft from the building. To the nearest foot, how hi
    6·1 answer
  • Please help!!!!!!!!!
    10·1 answer
  • Solve x 2 - x - 5/2 = 0 using the quadratic formula.
    5·2 answers
  • Hamal has a new part time job bagging groceries after school. The equation y=10x+50 show the relationship between his hours of w
    13·2 answers
  • HELP U WILL GET BRAINLIEST
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!