Suppose lim f(x) = - 7 and that for all x + 8, x →8 (플+7 + f(æ)) cos 2 f(x) + - 7. Find lim - 7 - f(x) x → 8

Q: compute lim as x goes to pi/2 from the right of (x-pi/2)tan(x)

A: Given f(x)=x-π2 tanx To find limx→π2+f(x)=limx→π2+x-π2 tanx

Q: Find the limit. lim tan x x - (m/2) +

A:

Q: Suppose that lim 4f(x)+ 2x – 14 5. Find lim f(x). z→1 %3D z→1 x – 1

A: Given

Q: Now, use direct substitution. 1 lim X-2 x + 7 + 3) = 1/6 Thus, the value of the limit X + 7 lim X -…

A: limx->21x+7+3Directy substitute 2 for xlimx->212+7+3 13+316

Q: Find the value of -1 tan (5x) lim- X

A:

Q: justify lim O Find and the xy

A: It belongs to Multivariate Calculus (specifically several variable),so I can do it in advanced…

Q: Estimate the limit numerically for lim- x-4 x2-3x-4 3.9 3.99 3.999 4 4.001 4.01 4.1 x – 4 x2 – 3x –…

A: Given :   limx-->  ( x-4)/( x2-3x-4)

Q: Calculate the limit lim 2√(x-4) / (x-4) As x goes to 4

A:

Q: Find the indicated if it exists: lim x to 8;  2x2+3x+1 divided by x4 - x2

A: To find the limit if exists

Q: Evaluate the limit: 2x +10 lim x-5 x +2x -15 lim as x -> -5 of |2x + 10|| divided by x ^ 2 + 2x – 15…

A: Evaluate the limit

Q: Evaluate the limit.

A: Given limx→0tan4x9x

Q: (b) Prove that lim,→20,¤€A ƒ (x) exists and is equal to lim→0 Yk-

A: This problem is related to the sequence of functions. Given:  fkk∈ℕ is a sequence of functions from…

Q: If −x2 − x + 1 ≤ g(x) ≤ x2 − x + 1 for all x does not =0, what is lim x→0 g(x)?

A:

Q: If ƒ(1) = 5, must limxS1 ƒ(x) exist? If it does, then must limxS1 ƒ(x) = 5? Can we conclude anything…

A: A function f(x) is said to be continuous at a point x = a, in its domain if the following three…

Q: Find the limit. lim (2 – x)7 tan(=) x→1

A: It is asked to evaluate the given limit. For solving the problem we need to know some basic…

Q: Evaluate this limit. x + 2 lim x--2 x2 +x – 2

A: To find the limit

Q: what is lim of x approaches -8 from the left of 7x+56/abolute value of x+8

A:

Q: lim(4x – 3) = 9 x→3

A:

Q: a. Evaluate limx→5 f(x), where f(x) = { 11x+ (2 +77) Ef x5 f(x) exists.

A: solution is given below..

Q: b. lim -4 In x tan(4x)]

A: Solution:

Q: if f(5) = 4, f'(5) = 7, then lim of (f(x²+1) -4)/(x²-4) = ?? when x goes to 2

A: Please see the answer below.

Q: Suppose that ƒ(x) and g(x) are polynomials in x and that lim

A: We have given fx and gx are polynomials in x and limx→∞fxgx=2.

Q: 2. If it exists, find lim f(x) where X--1 x =-1 f(x) = { *x– 1)³, x+-1 4, If the limit does not…

A:

Q: suppose f(X)->  -250 and g(x)->0 with g(x)>0 as x->2. Determine lim->2  f(x)/g(x)

A: Given: limx→2f(x)=-250 and limx→2g(x)=0 and g(x)>0

Q: Guess the value of lim x 0 (tanx-x)/x3

A: Given :          limx→0tanx-xx3

Q: what is the lim x->0  f(x)-f(0)/x^2 if f(x)=2x^2+1?

A:

Q: If Lim [x3 – g(x)] = 12 as x tends to 3, use the Rules of Limits to find Lim g(x) as x tends to 3.…

A: Given: limx→3x3-gx=12

Q: How do you solve question 11 and 12?

A: (11)Given:

Q: Find lim *2 x -2 In(x- 1) by using the La'Hospital Rule.

A:

Q: lim (3x + 5) = 2, x→-1

A:

Q: 4. Using the precise definition of a limit, prove lim (2x +8) = 38. x-15

A:

Q: Find lim_f(x), if it exists. If it does not exist, explain why. X--4"

A: Follow the procedure given below.

Q: Find the limit. sin(x - 5) lim x* + 4x - 45

A: Given : limx→5sinx-5x2+4x-45

Q: Estimate the limit numerically for lim X4 x²-3x-4 4 3.9 3.99 3.999 4.001 4.01 4.1 X. x - 4 Lx2 - 3x…

A:

Q: Find the limit x-5 lim x→5 x²-25

A:

Q: Calculate the limit.

A: limx→∞tan-11+x1-x

Q: Which property of f(x) = x' allows us to conclude that lim x- 8?

A: f(x)=x3 is a continuous function. So, it is continuous at x=2 also.

Q: 1. If V5 - 2x² s f(x) s V5- x? for -1sxS1, find lim,-o f(x).

A: Answer and explanation is given below...

Q: The function f(x) of the below graph is discontinuous at x = -1 because: a) f(-1) does not exist b)…

A:

Q: if Væ² – 5x – 6 < f(x) – 1 < v6² – x² then find lim f (x) - | - x-6

A: Given:x2 - 5x -6  ≤ f(x) -1 ≤ 62 - x2To find : limx→6f(x)

Q: Compute the indicated limit. „2 x + 3 lim x00 x - 4

A:

Q: If 2 - x2 &lt;=g(x)&lt;= 2 cos x for all x, find lim x--&gt;0 g(x).

A:

Q: —ах+6 if x2-1 Let f(x)=< For what value of a does 2x2 +ах ifx<-1 lim f(x) exist? x--1

A:

Q: Suppose that lim as x approaches infinity of f(x) + x^2 = L for some number L. Then lim as x…

A:

Q: Use basic techniques to find the limits. 8. lim(-7) X-3 9. lim (x³ + 2x) X→-1 10. lim cos x

A:

Q: Find the one-sided limit (if it exists) lim 9x tan TX x-(1/2)*

A:

Q: What conclusion about f(x) can be drawn from the equation lim-a+f(x) = f(a)?

A: Given that limx→a+f(x)=f(a)

Q: Find the limit. lim (2 – x)6 tan(5) |

A: Explanation of the answer is as follows

Q: Q2: Use lim x 0 and lim x 0 to show that lim x = 0.

A:

Q: Find the limit. 7) x6- (x - 6)2 lim A) -- B) = C) 0 D) -1

A: here option b is true

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.