Q3) If the function {2x +1 lx² + 2 x> h) x

Q: (2x – x? if 0 sxS2 if 0 sxs2 2 -x if 2 < x<3 x - 2 if 3 <x < 4 if x 24 f(x) =

A: We have to find

Q: By considering different paths of approach, show that the function f(x, y) has no limit as (x, y) →…

A: Let S be an open set containing , and let f be a function of two variables defined on S, except…

Q: Q4)A) Find the following limits (for two only). x+1 1. limx→-1 х2-х-2 1-Vx 2. limx→1 1-x 2х 3.…

A: Part 1,Given,           limx→-1x+1x2-x-2

Q: Estimate the limit numerically. ++7,000x³+ 800,000 lim 2x° + 1,269x³ 8. O to∞ 2.

A:

Q: The limit as x goes to zero of x-1 exists.   True or False?

A: We need to say whether the given statement, “The limit as x goes to zero of x-1 exists.” is true or…

Q: Find two paths of approach from which one can conclude that the function has no limit as (z, y)…

A: Given fx,y=x4-yx4+y

Q: If the limit of f(x) is 1 as x approaches 1 and the limit of g(x) is infinity as x approaches 1,…

A: we have to find the limit of the following

Q: Q4: Use the limit definition to compute the derivative, f(x), for 2.F(x) = Vx³ – x

A:

Q: Show that the absolute-value function y = abs(x) = |x| is NOT differentiable at x = 0. (Hint: by…

A:

Q: In terms of limits, what does it mean for ƒ to grow faster than g as x→ ∞?

A: Suppose we need to find out limits  And f(x) grows faster than g(x), Then denominator gets much…

Q: The limit as x approaches infinty of (x+3^x)/(x^2-3^x) Evaulate using L'Hospital's Rule providing a…

A:

Q: lim b-> -0.1x e 1.

A: Let I=limb→∞∫1be-0.1xdx

Q: find the limit. limit as x approaches 0 sin23x/x2

A: Apply the limits and find the in-determinate form.

Q: Evaluate the limit using L'Hospital's rule ex – x – 1 lim X+0 9x2

A:

Q: 3. Can f (x) approach a limit as x → c if f(c) is undefined? If so,

A:

Q: Compute the limit as x approaches infinity of x^e-x

A:

Q: 1 Q.3: Discuss the limit of f (x) : at x = 0", 0*,-∞,+∞, with graphs.

A:

Q: solve limit as x----infinity for the function ((sqrt(b^2)(x^2)-(cx)))-(bx) using L'Hopitals

A: We have been given a limit that we need to evaluate using L'hopitals rule:In order to apply…

Q: limit as x----0 for the function (px)/(sqrt(bx+a^2))-a using L'Hopitals

A: Apply the limit.

Q: Show that the absolute-value function y = t(x) = |x − 5| is NOT differentiable at x = 5. (Hint: by…

A:

Q: Find the limit limit x tends to (1/2) 4x(3x+4)2

A:

Q: limit as x---3 for the function (x-2)^11/(3-x) using L'Hopitals.

A: Consider the given function (x-2)11 / (3-x).

Q: Express the limit as a definite integral on the given interval. n X;* -Дх, [1, 9] lim (x;*)² + 4 n-…

A: limn→∞∑i=1nxi*xi*2+4∆x,    1, 9 Here, fx=xx2+4, a, b=1, 9

Q: Find two paths of approach from which one can conclude that the function has no limit as (x, y)…

A: To find two path of approach for the given function such that we conclude that no limit exist when…

Q: (VT – 1) sin(7x) lim (x – 1)2 x→1

A: Given:  Let y=limx→1 x-1sinπxx-12 To Find: To evaluate the given limit without using L'Hospital…

Q: find the limit as x approaches infinity of (1+2/x)^x

A: Find the limit as x to infinity,

Q: 2. Compute xe" da using a limit.

A: The given which we have to find the integration from 0 to ♾️  f(x) = xex

Q: Evaluate the limit as x approaches infinity of (x2 - ln(3/x)) / 4x2+6x

A:

Q: limit

A:

Q: By considering different paths of approach, show that the function f(x,y) has no limit as (x, y) →…

A:

Q: What is the limit as x approaches 0 of ((5x)(e^5x)-5)/2x ?

A: What is the limit as x approaches 0 of ((5x)(e^5x)-5)/2x?

Q: By considering different paths, show that the limit doesn’t exist. lim (x,y)→(0,0) xy4/ x2+y8

A: Answer

Q: The limit of f(x) = sqrt x as x approaches 9 is Infinity 3

A:

Q: compute limit as x goes to infinity of xe^-x

A: Given,            limx→∞x e-x

Q: If lim f"(x) = +0o, then the trapezoid estimation Tn - | f(x) dx %3D x0* can never be within 10¯³ of…

A: Given that limx→0+f''(x)=+∞ And Tn≈∫01f(x)dx Error for trapezoidal method contains double…

Q: What is the limit of f(x) = 1 as x ➔ rr?

A: given fx=1

Q: (sin 2x)* - 4x →0+ x -

A:

Q: Find the limit as x approaches infinity of f(x) when f(x) is x times square root of x

A: x times sqrt(x)= x times x^(1/2)= x^[1+1/2] = x^(3/2)

Q: By considering different paths of approach, show that the function below has no limit as…

A: on solving this we get

Q: 6. By considering different paths of approach, show that the following function has no limit as (x,…

A: given f(x,y)=5x2yx8+y2we need to show that the following function has no limit

Q: Suppose that f(x) is a differentiable function (with a continuous derivative), such that f(0)=f'(0)…

A:

Q: Find the limit of the function, f, as x approaches – 3. x2 – x – 12 - - f(x) = x + 3

A:

Q: If lim f"(x) = +0, then the trapezoid estimation Tn - | f(x)dx x0* can never be within 10-³ of the…

A: Given that limx→0+f''(x)=+∞ And Tn≈∫01f(x)dx Error for trapezoidal method contains double…

Q: limit x to infinty tan(5t)sec(99t)/t

A: Lim           f∞(st) Sec(q q t )tx→∞    Here limit x→∞ But the function is in t ∴

Q: find the limit lim as x approaches 0 from the right of (square root of x) / (ln (1+x))

A: We need to evaluate the given limit.limx→0+xln1+x

Q: Find the solution to the equation 2x² - 4x + 1 = 0 using simpsons rule with an lower a and upper…

A: Given , f(x)=2x3-4x+1 we have to use Simpsons rule to find solution with lower limit is 1 and upper…

Q: find the limit as x goes to infinity of ln(x+1/x+2)

A: Evaluate the limit

Q: If the function is continious at x c, then the right limit at x= c is equal to f(c). Select one: O…

A: To verify if the given statement is true or false.

Q: Find the limits using any appropriate method. ex-e-x-2x 4.4 #40 lim x-0 x-sinx

A:

Q: Q4: Use the limit definition to compute the derivative, f'(x), for 2 1.F(x) = x3 2.F(x) = Vx³ – x

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.