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

why can't you?

step-by-step explanation: