7. For what values of k does lim,→4 -+k exist? (a) – 2 (b) 4 (c) 1 (d) 8 (e) No such value exists.

Q: 3n Find lim,→0 (1+ )'

A: Here,

Q: 4. a. Evaluate lim x - x-6 x→3 x2 -9 x+1 lim x→-1 /3 - x –2 b. Evaluate

A:

Q: Find the following limits, clearly showing all of your work.

A:

Q: dt 22. lim is x2 - 16 x-4 (A) – el6 (В) 2 e16 (C) 16el6 (D) nonexistent

A: Given: L=limx→4∫4xt2et2dtx2-16 For evaluating given limit, we use L hospital's rule According to L…

Q: a. i=4 2 i=1 b. lim X48 i +1 3 5+2-* c. lim 848 3 5 + 2x drug and

A:

Q: 2. Find lim (√t+3, In(2 — t), ²). t-x

A: Given: limt→∞t+3, ln2-t, 2t

Q: ) lim (Vx+3 +Vx) 14

A:

Q: 1) The graph of a function f with domain (-5, 5) is given in the figure below. 4 3 5 -4 -3 3 4 -2 -3…

A: a) You can see that, the graph of the function f goes -2 units below the x-axis at x=-2. Thus,f-2=-2

Q: 4. Find lim (x² – 9)/(x² – 8x + 15)

A: To find the limit of given function.

Q: Find the limit

A:

Q: 2) Evaluate Lim X + 2² (X, Y, Z) (0, 0, 0) + Z 1 or show that it exists NOT.

A:

Q: 5. Calculate lim f(x), where x+1+ f(x) = = its 12.05 (c)-2 (d) 2 (e) does not exist 5A 5B if x 1 x-1…

A:

Q: 5z 3z (a) Evaluate limz-»00

A: Limit of a function is a value obtained when the variable in a function approaches to some other…

Q: Is it possible to find numbers a, b and c so that an lim n+0o bn3 + cn erists but not equal to 0?…

A: Consider the function:

Q: (r-2)(z²–3z+4) Use the graph of f(x) = (x-2)(z²–3z+4) (포-2) to evaluate lim- (포-2) O 2 3 does not…

A:

Q: 2. Find lim n→∞ N (e-(a/n) - (2a/n) + e -(3a/n) + e + . e-(na/n)).

A: To find the following limit.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.