(a) lim g(t) (b) lim g(t) (c) lim g(1) -0- 0

Q: If lim X-3 f(x) - 5 X-3 = 4, find lim f(x). X→3

A:

Q: If lim f(x) = 2 and lim g(x) = 10, then lim[3f(x) - 4g(x)] = -34. 2-b x-b x-b

A:

Q: (a) lim h(x) X--2 (b) lim h(x) x-0 (0, -5) (-2,-7) y y = h(x) X

A: We have to find limit values at given points x= -2 and x=0

Q: Compute (a) lim rlnr (b) lim r100 200

A: Explanation of the solution is given below....

Q: Consider the following function I0 2.

A:

Q: (a) If lim X-3 (b) If lim X-3 f(x)-5 X-3 f(x)-5 X-3 2, find lim f(x). X-3 = 4, find lim f(x). X-3

A:

Q: (a) lim f(x) (b) lim f(x) (c) lim f(x) x→c+

A: To find:

Q: Оuestion: 2 Use the numerical method to find lim 3-x

A:

Q: Find the limits. f(x) = x + 3 g(x) - x2 (a) lim f(x) x-3 (b) lim g(x) = x-2 (c) -3 9({x)) im, %3D

A:

Q: Q2 (a) By referring to Figure Q2(a), find (i) lim f(x) x→+0 (ii) lim f(x) x→-0

A: Let's find.

Q: X (b) lim 0 DO (c) lim xln 1

A: (b). Given: limx→0+lnxx

Q: (a) lim g(x) = x3 (b) lim g(x) = I3+ (c) lim g(x) = %3D

A: For existance of limit,lim g(x)x→a-  =lim g(x)x→a+

Q: (a) lim (x) X-18 9. (b) lim f(x) lim f(x) (c) X-9 (d) lim (x) DNE (e) R-9) 9. (r) lim x) DNE

A:

Q: ³f(x)-2g(x) is ... If lim f (x) = 2 and lim g(x)=-1, then lim- f (x)+ g(x) xa

A:

Q: x2+2x – 3 if x 22 The value of lim f(x) if f (x) =- 6-x X-2 if x<2

A:

Q: 1. Find the vertical and horizontal asymptotes for f(x) = lim f(x)? 3x²+x+7 x²+2x-15 What is

A: Let's find vertical and horizontal asymptotes.

Q: Given f(x) = = 3x + 7 √9x² A) Find lim f(x) ° x48 5 B) Find lim f(x) o x118 "

A:

Q: 9x2-3 6

A:

Q: (a) lim (1+h)** - 1 h 6 - In a (b) lim 1-e (x- e6)ln x

A:

Q: Use the graph of g to find the value of each expression. (If an answer does not exist, enter DNE.) 4…

A:

Q: Given f(x)= (a) lim f(x) 4-6- (2-3x x 6 (b) find each of the following: lim f(x) x-6+ (c) lim f(x)…

A:

Q: If lim f(x) = 11 and lim g(x) = 23 then lim[2f(x)g(x) – 8] = エー5

A: Using property of limits,

Q: Find the limits of graph (a) lim f(x) x→0− (b)lim f(x) x→0+ (c) lim f(x)x→2 (d) lim f(x) x→4

A: From the given we have to evaluate the given limits. (a)limx→0-fx Here, x→0- means that x is…

Q: 4. Use the graph to state the values (if they exist) of the following: (a) lim g(x) (b) lim g(x) (c)…

A: (a) limx→2-g(x)=2 (b) limx→2+g(x)=1 (c) Both the left-hand and right-hand limits are not the same.…

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y 5- 4- (4,3) 3- 2-…

A: Left hand limit: The graph of a function f(x) approaches to 'L' as x moves towards 'c' from the…

Q: (-8) x - 2 (x-2) Find the value of lim (a) 4 (b) 8 (c) 12 (d) 6 (e) 2

A: To find the value of the given limit.

Q: If lim [f(x) + g(x)] = 9 and lim g(x) = 12 find the following. %3D X-2 (a) (b) x-2 (c) lim 3g(x) x-2…

A:

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.