Use properties of limits to find the indicated limit. It may be necessary to rewrite the expression before limit properties can be applied. lim [sqrt(x)-10]/ (x-100)

0.05

Step-by-step explanation:

We have to find the limit of

as x tends to 100.

If we substitute 100 for x directly we get 0/0 form which is indeterminate.

Let us factorise the denominator suitable

Denominator =

Now we find common factor between numerator and denominator

Since x tends to 100 we can say sqrt x -10 is non zero.

We cancel this andfind

the expression as

Now substitute limits as x =100

Limit =

Limit is 0.05

  or  

step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or  

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.