Since the limit becomes the undetermined form
it means that both polynomials have a root at 
. So, we can fact both numerator and denominator:
So, the fraction becomes
Now, as x approaches 1, you have no problems anymore:
Step-by-step explanation:
On a frigid, foggy Christmas Eve in London, a shrewd, mean-spirited cheapskate named Ebenezer Scrooge works meticulously in his counting-house. Outside the office creaks a little sign reading "Scrooge and Marley"--Jacob Marley, Scrooge's business partner, has died seven years previous. Inside the office, Scrooge watches over his clerk, a poor diminutive man named Bob Cratchit. The smoldering ashes in the fireplace provide little heat even for Bob's tiny room. Despite the harsh weather Scrooge refuses to pay for another lump of coal to warm the office.
Answer:
a₁₃ = - 27x - 41
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3x + 7
d = a₂ - a₁ = - 5x + 3 - (- 3x + 7)
= - 5x + 3 + 3x - 7
= - 2x - 4
Then
a₁₃ = - 3x + 7 + 12(- 2x - 4)
= - 3x + 7 - 24x - 48
= - 27x - 41
Answer is 300
first change the 17% to decimal value, which is 0.17
Put everything in equation: 51=0.17x
then solve for it
51=0.17x
x=51/0.17
x=300
the number is 300
