f(æ) Consider the function: 5 tan x-5x g(x) 7x3 What is lim (æ), x→0 9(x) Note: For limits whose final value is determined to be "infinity", write DNE. Maintain fractions if applicable.

Q: Find the limits lim х2 — 1 as a. x→1+ b. x→1 c. x→-1+ d. x→-1

A: we have to find the limit    the given expression is

Q: Estimate limr→-4 f (x). Estimate limr→-2 f (x). Where is f(x) discontinuous?

A: Note:- Due to our guidelines we can solve only three questions, plzzzz re-upload rest question by…

Q: Q3: A) Find the limits below 1) lim (x,y)—(0,0) x² + sin²y 2x2 + + y²

A:

Q: x2 – y? lim (x,y)→(0,0) x² + y?

A: The given expression is, lim(x,y)→(0,0)x2-y2x2+y2. Obtain the limit lim(x,y)→(0,0)x2-y2x2+y2 as…

Q: Given: limx→+∞ f(x)=4 limx→+∞ g(x)=3 limx→+∞ h(x)=-7 Find: limx→+∞ [f(x)+3g(x)] = ? limx→+∞…

A:

Q: Find the limits by rewriting the fractions first.

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) lim x+0 x2 + 6x

A:

Q: IF FLX)= and Lim F(X)6 F(-)=2 b X<l Find a,b when X#0

A:

Q: Find the limit. 1+x? lim arccos 1+ 2x2

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: What is lim f(z) z→1 9(2) given f(x) = e2" and g(x) 3x2 – 3x + 6 ?

A:

Q: Find the limit of the Function if it exists? lim (x,y) to (0,0) ytanx /3x^2 +y^2

A: To determine if the limit of the given function of x and y exists at (x,y)=(0,0)

Q: Let f(x) = x² + 9, x > 0. Find lim f'(x) →25

A: f(x)=x2+9

Q: Find the limits 1 lim as (x – 1)4/3, a. x→0+ b. x→0 c. x→1* d. x→F

A: Given function is fx=1x13-1x-143

Q: Let lim,-0+ f(x) = -2, where 8r - 3 for r <0 f(x): | 4x – 2 for r2 0 f(r) = Then what is (the…

A:

Q: Find the limits. f(x) = 2x2 – 3x + 39, = Vx + 5 (a) lim f(x) x→4 lim g(x) = (b) x→59 (c) lim g(f(x))…

A:

Q: (x+h)³-x³ h C. lim- h-0

A:

Q: 3. y = f(x) 4 6. -1 lim f(x) =

A:

Q: sin²t lim t3 t→0

A:

Q: Find the limits 2 lim as (x – 1)2/3 a. x→0+ b. x→0 c. x→1+ с. d. x→F

A: Given function is fx=1x23+2x-123

Q: Find the limit. (If an answer does not exist, enter DNE. Vx + 6 – 4 lim x→10 X – 10

A: Given that  limx→10x+6-4x-10 find out the limit for the given

Q: x²+x y-2y lim (x,y)→(4,16) x- Jy

A:

Q: b) Suppose that limx→md(x) = 10 and lim,-mE(x) = -7 , find lim,-m(d(x) + E(x)) (iii) lim,-¬m(d(x).…

A: Since your question has multiple parts we will solve the first three parts for you. Consider that…

Q: If 2x 0, use the Squeeze Theorem to find lim g(x).

A: Given that : as per squeeze theorem

Q: Find the limits 1 lim x→0 x²/3

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim f(x), where f(x) x² -…

A:

Q: Determine the limits if they exist for the function lim (x,y) → (0,0) 1 – x - y /x 2 + y 2

A: We will find out the required limit.

Q: Q3: A) Find the limits below x² + sin²y 1) lim (x,y) (0,0) 2x² + y² 2) lim (x, y)-(1,1) x² - 2xy +…

A:

Q: Consider the function f (x, y) : 2y Show that lim (x,y)→(0,0) f (x, y) does not exist by ɛ – 8…

A:

Q: O3: A- Find the limit for the follo tan2x 1- lim x→0 sin4x

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Consider the function: f (x) = (91n x)* What is lim f (x)?

A:

Q: Consider the function f(x) = √x.  Is limx 0 √x = 0 a true statement? Explain.

A: Given: The function f(x)=x Statement limx→0 x=0 We have to determine the given statement is true or…

Q: Consider the function: f (x) · g (x) = 16x · sin What is lim f (x) · g (x)?

A:

Q: nd the one-sided DNE lim_(x². +x+5) x--5- exists). (If an answer does not exist, enter DNE. Submit…

A: Topic:- limits

Q: Find the value of the positive constant c such that....

A: Given- limx→∞x-cx+cx=14 To find- The value of c. Concept Used- If any limit of the function fxgx in…

Q: a) Find two fuctions such that lim, +∞ ƒ (x) = ∞ lim, »0 g(x) = 0 = 00 but lim,->0∞ ƒ (x) – g(x) = 1

A: Consider the function f(x)=x2+1x. Its limit as x tends to infinity will be given by:…

Q: Find the limits. f(x) = 2x2 – 3x + 41, g(x) = Vx + 3 (a) lim f(x) X-4 (b) lim g(x) = (c) lim g(f(x))…

A: Given

Q: Find the limits t +3 a) lim (4x3 – 3x² + x – 85); b) lim, t+2 t+1 ; c) lim x +0 1-V1+7x ; d) lim (7…

A: We can solve these problems in this way

Q: lim (x,y)→(0,0) x² – y? x2 + xy + y? II

A:

Q: find the lim as x approaches infinity when f(x)= (1-x)/2x

A:

Q: Find the limits of the functions below a) limx-3 x* sin x b) lim,

A: We can find the limit of both the question as below.

Q: Find the limits. (x) = 2x² – 3x + 4, g(x) = Vx + 2 (a) lim f(x) x-2 (b) lim g(x) = %3D

A:

Q: f(2) is continuos if lim f(z) =f(z,)

A:

Q: f(x+h)-f(x) For f(x) = V3x + 34, find f '(x) using the definition f '(x) = lim h h0

A: Solution:differentiate by first principle

Q: use f(x) to find: limx→0f(x), limx→-4f(x), limx→5+f(x), limx→-4-f(x). the discontinuity that is…

A:

Q: Va-2x Let f(x) = Find lim f(x)? x+1 +x-

A: Given function :

Q: 19) Find lim f(x) %3D 19) X2 + A) 2 B) – 2 C) - 4 D) - 8 20) Find lim f(x) 20) X 2

A:

Q: Forf (x) = 2x +2, compute lim ƒ(1+h) –f (1) %3D f(I+h) -f (1) lim h>0 %D h

A: Given : fx = 2x+2

Q: Find the limit if it exists. (If an answer does not exist, enter DNE.) x2 lim (x, y)- (0, 0) (x +…

A: The limits of the function will give the value of the function near the point. The limit does not…

Q: Vh+ 196 – 14 - Find the limit lim h→0 h

A: