Question

Which statements describe finding the limit shown?

Check all that apply.
A. Multiply by √x+2+3/√x+2+3
B. Getx-1 in the numerator.
C. Get (x-7)(√x+2-3) in the denominator.
D. Divide out a common factor of x-7.
E. Calculate the limit as 1/6.

Answer 1

When finding the limit shown, there are several steps involved: multiplying by a conjugate, getting (x-1) in the numerator, dividing out a common factor, and then calculating the limit.

Step-by-step explanation:

When finding the limit shown, there are several statements that describe the process:

A. Multiply by √x+2+3/√x+2+3: Multiplying by a conjugate is a common technique used to eliminate radicals in the denominator.

B. Get (x-1) in the numerator: Manipulating the expression to rewrite it with (x-1) in the numerator can help simplify the algebraic expression.

D. Divide out a common factor of (x-7): Dividing out a common factor is a useful step to simplify the expression.

E. Calculate the limit as 1/6: Finally, after simplifying the expression, you can calculate the limit.