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- 12-Determine the equation of any asymptote and coordinate of holes forF(x)= -12x^3 +44x^2 -32x -16 / (3x^2 +7x+2) Please note that dont use the Lim's formula1. Is it possible that f(2) = 5 but limx→2f(x) = 7? If so, what kind of function can satisfy this?When finding the limit lim x2 +5x+1/3-2x x-> infinity How do I find the limit?
- Let ƒ(x) = (x^2 - 9)/(x + 3). a. Make a table of the values of ƒ at the points x = -3.1, -3.01, -3.001, and so on as far as your calculator can go. Then estimate limxS -3 ƒ(x). What estimate do you arrive at if you evaluate ƒ at x = -2.9, -2.99, -2.999,c instead? b. Support your conclusions in part (a) by graphing ƒ near c = -3 and using Zoom and Trace to estimate y-values on the graph as xS -3. c. Find limxS -3 ƒ(x) algebraically.Let ƒ(x) = (x2 - 9)/(x + 3). a. Make a table of the values of ƒ at the points x = -3.1, -3.01, -3.001, and so on as far as your calculator can go. Then estimate limx--> -3 ƒ(x). What estimate do you arrive at if you evaluate ƒ at x = -2.9, -2.99, -2.999,...... instead? b. Support your conclusions in part (a) by graphing ƒ near c = -3 and using Zoom and Trace to estimate y-values on the graph as x -->-3.(a) for g(t)= t-9/square root t-3 . Make table of values with at least six appropriate inputs to evaluate the limits as t tends to 9. (b) make a conjecture about the value of lim t-9/square root t-3. t->9
- Find lim x^2 − 3x + 2/x^3 − 2x^2as(a) x → 0+ (b) x → 2+ (c) x → 2− (d) x → 2 (e) What if anything can be said about the limit as x → 0?For f(x) = −x^3 + 1/2x + 8evaluate limx→∞ f(x) and limx→−∞ f(x). Then give thehorizontal asymptote of f (if any). (a) Graph f(x)=(1−x^2, x≠1)(2, x = 1)(b) Find limx→1+ f(x) and limx→1− f(x).(c) Does limx→1 f(x) exist? If so, what is it? If not, why not?(b) Use your answers from above to determine lim t→0- (5t -1)/t. In your own work, you may want to add more values to the table from above. (d) Use your answers from above to determine lim t→0+ (5t -1)/t In your own work, you may want to add more values to the table from above. (e) Use your answers from parts (b) and (d) to find lim t→0 (5t -1)/t
- 1) Find the indicated limit if it exists. a) limx→0 squareroot x+4-2/x b) limx→−1.5 8x3+27/2x+3Find the limit.1. lim┬(x→-1)〖(2x^2-x-3)/(x+1)〗2 lim┬(h→0)〖(√(2+h)-√2)/h〗3. lim┬(x→5^+ )〖(x-5)/(x^2-25)〗4. lim┬(x→0^- )-〗〖3/x〗 5.lim┬(x→0)〖(-〖2x〗^3+3x-1)〗 6. lim┬(x→3)〖(x+1)/(x-3)〗 7.?(?)={?3 +3 ?≤2 ? > 2 lim┬?→2 ?(?)Find the limit lim x-2 (3x-1)2/x+1