(3) Evaluate the limit, if it exists. (h + 7)² – 49 h (a) lim h0 1² + 3x – 4 (b) lim 1² + x +12

Q: 7. Find the limit (if it exists): lim (2x3 - x2-7x + 3) = %3D X00

A:

Q: 15x 3x Evaluate the limit: lim (15x+4)

A: We have to evaluate, y=limx→∞15x15x+43x

Q: 2x2+3x+1 Find the indicated limit if it exists: lim,0 x4-x2

A: We have to evaluate the limit limx→∞2x2+3x+1x4-x2.

Q: (a) Use a graph of f(x) = V 2x2 + 9x + 5 – V 2x² + 2x + 2 to estimate the value of lim f(x) to one…

A: Here we have the find the limit of the function using a graph, table, and exact evalution.

Q: Oす O The limit does not exist. 0-2 -2 4. 3- 2- 54-3-2 2- 3. For the graph shown, what is lim f(x)?

A: The solution are next step

Q: _15. What is lim f(x)? X-4 A. 0 В.1 С.2 D. Does Not Exist

A: Given: Following graph is given. To Find: 15. limx→4fx=?

Q: 1. Find the limit. 1-a (b) lim (r- VI) (a) lim V +1

A:

Q: 5x - 2x +1 lim 1- 3x 3-Evaluate the Limit

A: we have to evaluate ,  A=limx→+∞5x3-2x2+11-3x

Q: 2x² + 5x – 3 - 3 Find the limit lim X+ - 3 X + 3

A:

Q: (3x²+kx+k+3` lim x→-2 x2+x-2

A: Given

Q: 3. Use L'Hôpital's Rule to find the limit. 2x2-3 x2+6x-16 a. lim x- 00 5-4x2 b. lim x2 x2+x-6

A:

Q: Q3 Evaluate the limit, if it exists. (2x²+1)² (a) lim(1 – 2x)* (b) lim (x-1)2(x²+x)

A: Evaluate the limit of function

Q: 5. Evaluate the given limits, or justify why they do not exist: -9 a. lim 3HI3 3r-8 b. 2x+6 4.x+1 c.…

A:

Q: Use direct substitution to obtain an undefined expression. Then, use the method of evaluating a…

A: We have to find the limit of given function.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim t→5  t2 − 3t −…

A:

Q: 10. Find the value of the limit or state that it does not exist b) lim f (x) =

A:

Q: Find the limit (if it exists). If it does not exist, explain why.

A: Given data:   *The function f(x) is f(x)=x+2/2, when x<3. *The function f(x) is f(x)=12-2x/3,…

Q: 3x 15x Evaluate the limit: lim (15x+4 15х+4

A: We have to find the limit

Q: 5) Find the indicated limit if it exists. √√x+4-2 a) lim x-0 X 8x³+27 b) lim x-1.5 2x + 3

A:

Q: 32 Find the limits. . lim (1+2r - 3x

A:

Q: 7. Find the limit, if it exist x² +2 a. lim xV9 - x? C. im b. lim * x-1

A:

Q: 2x2-5x-12 4-V4x Evaluate the limit lim→4

A: From the given problem:   limx→42x2-5x-124-4x ....(1)   So, simplify:…

Q: Determine a value of the constant a for which lim g(x) exists and state the value of the limit, if…

A: Given piecewise function is gx=x2-4x ; if x≤-1ax3-9 ; if x>-1

Q: x2+3x-1 16. Use L'Hôpital's Rule to evaluate the limit lim Write o if the limit is infinite.

A:

Q: 4x5-2x3 Find lim using rules for limits at infinity. ズ→+0 3x7

A:

Q: (- 5+ h)' – 25 Evaluate the limit: lim

A: The given limit is limh→0(-5+h)2-25h

Q: Evaluate the limit  lim(t->1) t2 - 1/ 4t2 - 5t + 1

A:

Q: Find the limit analytically. +r-6 1. ) =-6x +8 Find a lim (x) b. lim Jim fx) d C. lim, f(x)

A:

Q: x2 + 4x – 45 Evaluate the limit: lim x → - 9 x + 9

A: Explained below

Q: Q:2 Find the limit, if it exists. If the limit does not exist, explain why. 2 - |x| lim x-2 2+x

A: First of all substitute the value of the limit in the given equation that is -2 in place of x.…

Q: Let f (x) = x2 + 3x. Find the limit (3+h)-f(3) lim h-0 h The limit is

A: topic - limits and derivative

Q: Vx² +12 – 4 lim 1. Evaluate the limit : x - 2 x→2

A: limx→2 x2+12-4x-2 it can be solved by rationalization of the numerator or by using indeterminate…

Q: Find the limit L. Then use the &-8 definition to prove that the limit is L. a) lim (4x+5) b) lim]x-…

A:

Q: Find. 1) a. lim f(x) and b. lim f(x). x-0- Find the limit, if it exists. x2 + 4 2) lim X-2 x+2 3)…

A: Here function is given and we need to find limit

Q: 2. Find the limit L. lim (x+4r) L-12 b. L-4 CL-1 dL-4 none of the ab0ve

A: Given limx→-2(x2+4x)

Q: e2h-1 if f'(a) lim-0 what is f(r) and what is a? h

A:

Q: Question #2: Evaluate the limit if it exists. x² + 2x – 8 x? - 2x – 8 (b) lim (c) lim 2 x - 2 (a)…

A: Explanation of the answer is as follows

Q: 3. Evaluate the limit algebraically or explain why the limit does not exist 3r2 – 2x – 8 lim x² – 4

A:

Q: Evaluate the limit, if it exists: x²-9 lim *-3 X+ 3 does not exist -6 1

A:

Q: 2. Find the limit of the function (if exists). If the limit does not exist, explain why. For…

A: using  a2-b2 = (a-b)(a+b)

Q: Find the limit. lim (3x5 - 2x4 - 4x³ + x² - 5) x+-2 O -33 O -161 O 47 O -97

A: See the details solution in below

Q: Determine the infinite limit. a) lim (x – 3)5 b) х — 1 lim 0 x*(x + 2) x- c) x² – 2x lim -2- x? - 4x…

A: a Given limx→3−xx−35. Use definition of limit…

Q: x² +7x+12 b) lim x-4" x? -16

A: We have to find limit of given rational function.

Q: |x-3| 3. Show why the following limit does not exist: lim3 3-х

A:

Q: Find the limit, if it exists. [x2 – 16 :- 16 if x>0 Let f(x) = x - 16 x- 4 if x<0 Find lim f(x) x-0+…

A:

Q: Evaluate the limit. -2x2 + 53 lim x→∞ 5x² + 61x + 24 The limit does not exist. O -2/5 O 1/2

A: To find the limit

Q: Find the limit of f(x)

A: Given information

Q: Find the limit. 421 (a) lim 7+ 17 (b) lim x-0 X 3

A: Topic = Limits

Q: 3. Determine the limit graphically. Confirm algebraically. x - 1 lim x-1 - 1 1² - 3t+2 lim 1-2 1² 4…

A:

Q: 12. Find the value of the limit: lim a. +00 b. -00 d. Indeterminate

A: