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

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.

the 4th choice is the correct one

step-by-step explanation: