If we simply substitute the value x=2 in the expression we have
which is undefined.
But if we factor both numerator and denominator, we have
Since we are studying the limit as x approaches 2, we can assume that x is not 2. In this case, we can simplify the (x-2) parenthesis, and the expression becomes
And we can evaluate this at 2 with no problems:
So, we have
This means that in this case both left and right limits exist and are the same, so the limit exists, but the function is not defined at x=2. This is a removable discontinuity, because we can define the function as its limit, and we have a continuous function at x=2:
Answer:
2.09 × 10¹⁰ pounds
Step-by-step explanation:
The American chemical industry produces more than 9.5 million metric tons of sodium carbonate.
in this problem we have to calculate the amount in pounds of sodium carbonate are produced annually.
so we will convert the amount of 9.5 million metric tons to pounds.
Since in 1 metric ton = 2204.62 pounds
Hence, 9,500,000 metric ton = 2204.62 × 9,500,000
= 20943890000 pounds
= 2.09 × 10¹⁰ pounds
2.09 × 10¹⁰ pounds of sodium carbonate are produced annually.
Let 'x' represent the monthly membership fee for the gyp.
Since 1 year = 12 month for 1 year Alyson will pay 12x dollars.
But if she pay in advance 12x dollars she will receive $50 discount and pay $514:
12x - 50 = 514
x = $47
The monthly membership fee is $47.
hope it helps
