18. lim f(x) x→1 f(x) = x² + 3, 2, y 6 2 ++ H -2 + 2 x = 1 1 X = 4

Q: Use the graph to find the limit (if it exists). If the limit does not exist, explain why.

A: From the graph we see that, when x is close to 3, then y is close to 1.  So the limit exists.

Q: Find the limit. Ilm x4 1 5 g B

A: using limit, direct putting value since denominator is polynomial

Q: Find the limit. Ilm (x + 7)

A: We can find the limit as below.

Q: Use the shown graph in Figure to find the limit :

A: Given:  we know that for a function limit exist when left side limit is equal right side limit

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) V81 + h - 9 lim

A: 6. The given limit is, limh→081+h-9h. Note that, the given limit is in the indeterminate form. Apply…

Q: f. f(-3) = g. f(-1) = h. f(1) = i. f(3) = j. f(5) =

A: Consider the given graph:

Q: (4x-V16x C. lim +3x-5 3x-7* d. lim x0 2x-15*

A: c)…

Q: Name three types of discontinuities. Include an example plot of each and explain how the…

A:

Q: Use the new variable t = 64 +h to evaluate the limit. Enter the exact answer. V64+h-8 lim %D h

A: We can evaluate the given limit by substituting,  t=64+h  t2=64+hh=t2-64=(t-8)(t+8) Also, as h→0 we…

Q: Use a graphing calculator to find the value of the limit. 7x - 2 lim 8x*

A:

Q: 3. 7x²-4x-3 lim 2+1 3x² - 4x + 1

A: limx→17x2-4x-33x2-4x+1=00so we can apply L Hospital…