Complete the given sentence. (Enter your answers as a comma-separated list. If t

Question

Complete the given sentence. (Enter your answers as a comma-separated list. If there Is no such point, enter NONE.) The closed-form function f (x) = 7/x^2 - 25 is continuous for all x except x = + Complete the given sentence. (If the limit floes not exist, enter ONE.) The closed-form function f (x) = squareroot x + 3 has x = 22 In its domain. Therefore, lim_x rightarrow x + 3 =_ Calculate the limit algebraically. (If you need to use infinity -infinity, enter INFINITY or -INFINITY, respectively. If an answer does not exist, enter ONE.) lim_x rightarrow -2 4x^2 + 2/x If the limit does not exist, say why. (If the limit does exist, so state.) This answer has not been graded yet.

Explanation / Answer

1. given f(x) = 7/(x^2-25)

f(x) is continous at x^2-25 not equal to 0

x^2 not equal to 25

threfore f is continos all values of x except at x=5

2.given f(x)=sqrt(x+3)

lim x->22 sqrt(x+3) = sqrt(22+3) = sqrt25 = 5

3. lim x->2 [4x^2+2]/x = [4*2^2+2]/2

= 18/2

= 9

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