Question 18 x²+ 2x – 3 if x2 2 The value of lim f(x) if f(x) ={ 6-x x-2 if x<2 2 A) 5 B) 2 c) 3.5 D) does not exist

Q: 1. Let f(x)= x²+x-6 |x2| 7 x b 2 x + a 3 2 if x 2

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Q: Evaluate lim x →∞ -6x²-x+6 -2x³ + x² + 5x +4

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Q: f (x) -f (2) The value of lim X-2 if f (x) = 2x2+1 x-2 A 2 B) 4 C 8 D) does not exist

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Q: 1 1+ 2x lim x → 0- 1 3 + 2x

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Q: f(x): = ax² + x - b, ax + b, 2ax - 7, (a) Find the values of a and b such that f is continuous on…

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Q: d. lim x_1 x-1

A: Since there are multiple questions so according to guidelines we can solve only first one.

Q: x²-4 (b) lim 4-2 X+2

A: We have to evaluate the limit: blimx→-2x2-4x+2 After putting limit value we get that it is in the…

Q: a) lim 2+1 - 2x - 5 (2x - 1)³

A: Topic:- calculus

Q: h) lim x* +x?- 2 I+x+x+x

A: Here we have to find the limit of given function. We can divide it in two function , one in…

Q: 2x +1 if x3 (А) -5 в) 6 23 D) -13

A: Here I am attaching image so that you understand each and every step.

Q: X 2 +2 x-2 3. Find lim 4. Prove that lim(2x² +1)=3

A: Dear student,                       According to our guidelines we are supposed to answer only first…

Q: Extend L'Hopital's Rule to evaluate lim (x2 - x) x-+

A: See the attachment.

Q: (4) Consider the function + 3bx + 262 if x 1 For which value(s) of b does lim f(x) exist? Justify…

A: Given: fx=x2+3bx+2b2             if x&lt;1 fx=x-1                             if x≥1 limx→1fx…

Q: Find the lim tan ( X-0

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Q: Rules of Limits

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Q: 1– x2 lim r--00 3 + 2x – x3

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Q: sing the E, & definition.

A: Limx-3(x2+2x-1)=14.

Q: lim Vet6 – 2 X-2 X+2

A: We have to find the limit.

Q: If f is C2 on an interval prove that f(2 + k) – 2/(2) + {(z =A) = r"(2). - lim h-0 h2 = f"(x). The…

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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: 4) lim Vx + 2 DNE x--2- 5) lim f(x) DNE, given that f(x) = {*+1 if x<2 (x-4)2+3 if x22 x-2

A: Topic:- limit Calculus

Q: Find all values of a and b that make -a - x, x< -2 /(x) = { Vx + b, bx² + 1, -2 Sx<1 x21 continuous…

A: Given:             fx=-a-x,            x&lt;-2bx2+1,    -2≤x&lt;1x+b,        x≥1

Q: ]x - 5| lim 3x-15 x5-

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Q: Use a double integral to find the volume of the solid bounded by: z = x +2y2 and z=12– 2x2 – y?

A: By using the double integral we have to find the volume of the solid bounded by: z= x2+2y2 and z=…

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

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Q: а) The function f is defined by 2, if x2 i) Find lim f(x). Give your reason.

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Q: 1/(a+h)2 -1/a² lim h 0 for a +0 ん

A: b.   The algebraic formula for the whole square of the sum of two variables is,

Q: 10. Calculate (a) 3 (b) 0 (c) 15 lim x⇒1 (d) 13 (e) does not exist x18 - x3 x5 - 1

A: We are required to find the value of : limx→1x18-x3x5-1

Q: 1) Evaluate lim(2x + (x – 3)²). x→3

A: NOTE: Refresh your page if you can't see any equations. . execute the limit by taking x=3