lim [x – 1||

Q: e* (1-e*) lim,0 (1+x) In(1–x

A: Given problem:-

Q: Find lim 1-0 does not exist -1/2 Ο Οι Ο 1/2 O O Ο Ο Ο Ο Ο Ο O O O e* - r -1 Other: Δ

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Q: I- Evaluate the a-Lim(x/(x-1) – 1/ Ix) b- lim [In(cos(x))]* x->1+ x >0 x->0

A: Solution a: Given limx→1+xx-1-1lnx We can write it as…

Q: lim          e((x+4)/(x+2)) x->2-

A: Insert the value of given limit. The result is a finite number.

Q: Given lim f(x) - 4 and lim g(x) = – 2, – 2, x→ 2 evaluate: x → 2 lim (g(x)ln( – 5f(x) – 3)) = | x →2

A: Definition used -

Q: f(x+h)-f(x) In evaluating lim h-0 in f(x)= x² -1, which is the first step? h

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Q: The graphs of f(x) and g(x) meet at x = 1. Evaluate lim g(x) x-1/(x)

A: Given: the graph of f(x) and g(x) meet at x=1

Q: Find lim h(x), if it exists. X> 00 f(x) = 3x + 2x + 3 (a) f(x) h(x) = lim h(x) X> 00 f(x) (b) h(x)…

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Q: _15. What is lim f(x)? X-4 A. 0 В.1 С.2 D. Does Not Exist

A: Given: Following graph is given. To Find: 15. limx→4fx=?

Q: f" (h+x)-f" tx) Then lim %3D

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Q: |1-x*| 5. lim X-o x(x+1) II

A: Here we solve limits.

Q: Prove the limit Constant Multiple Rule:

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Q: lim a-1 In(1-x) dx X

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Q: lim M =: X-0 x

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Q: lim 1. m, n > 1 is

A: We try to find the limit by substitution

Q: lim f (x) = DNE f(x) has a vertical asymptote at x=3 x-3

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Q: Find lim h(x), if it exists. f(x) = 6x2 + 2x + 9 f(x) (a) h(x) = lim h(x) = x→の f(x) (b) h(x) : x2…

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Q: Lim Vn' +n

A: Explanation of the answer is as follows

Q: g(x) lim -2 h(x)

A: Please refer to the image below

Q: f(x+h)- f(x) lim where f(x)=4- 2x-x h

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Q: A = lim R, = lim [f(x1)Ax + f(x2)Ax+.+ n-00 x< 10. Using the above definition, determine whic

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Q: xS -1 If s(x)={ find "e" so that Lim f(x) exists. x > -1

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Q: 6) lim f(x) x-1 f(x) A) 1 B) -1 C) 0 D) Does not exist

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Q: lim (SC - S(T)) where f(x) = -x²+x+6 f(7+h)-f(7) h h→0

A: f(x)=-x2+x+6= limh→0 f(7+h)-f(7)h limh→0 -(7+h)2+(7+h)+6-[-72+7+6]h limh→0…

Q: x 1 What is lim f(x)? x→-1 O 3 O 4 O 2

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Q: lim f(x) given f (x) x 3

A: Given information: The funtcion is fx=x-1       if  x&lt;32x-3     if x≥3. Calculation: Evaluate the…

Q: e – e-* lim I-0 x2 + 3T

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Q: Using the graph of f(x) given below lim f(x) = x→2 O 2 O 1.5 1 does not exists

A: Graph of the function is given, we have to find the value of limit at x=2

Q: Evaluate the limit given

A: Given:

Q: lim X→0 xsinx 1 1

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Q: (a). Determine the interval(s) on which f(x) = is continuous. (b). Find lim analytically. 9-1 3 -1…

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Q: Find lim h(x), if it exists. X- 00 f(x) = 3x2 + 2x + 9 f(x) (a) h(x) lim h(x) = X- 00 f(x) h(x) = x2…

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Q: Q.2 Show that r(ax) _ 1 lim x0 (x)

A: to show  limx→0ΓaxΓx=1a   ...i as we know Γn=Γn+1n using this formula we get Γx=Γx+1xΓax=Γax+1ax

Q: lim f(x)= X x3+

A: Definition used -              Limit of a function -               A function approaches to an…

Q: If lim g(x) = 13 and lim h(x) = 23 then %3D [39(x) + 6h(x)] lim x6 2 O 26 O 88.5 O 46 O 36 O 19

A: The limit of a function at a point exists if both left-handed and right-handed limit exist and are…

Q: lim(xF* +1-x°) lim(x+e"). a) b) (*+e*%

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Q: Lim é-x- つo 1+oS T-X-7

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Q: lim f(x), where f(x) X-2 S11 2x if x < 2 if x 2 2

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Q: 3. If f and are continuous functions with f(3) 4 and lim 2f(x)-9(r)3D5, what is g(3)?

A: To evaluate the value of the function

Q: 3x +x 6. Evaluate the limit: lim- x→0 а. О С. 1 b. 3 d. -1

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

Q: lim-o f(x+h)-f(x) 1) Given f(x) = x2-3 find 5x+2x2+1 2) limx-ox3+3x

A: 1 We have to find limh→0fx+h-fxh for the given function fx=x2-3. 2 We have to find the limit…

Q: 1 | 1. lim f(x), where f (x) = x→1 x² – 1° f (x) f (x) 1.002 0.998 1.001 0.999 1.0005 0.9995 1.00001…

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Q: lim vn² +1-n

A: Given limx→∞n2+1-1

Q: H Let f(x) = 0 if x=2 x² −1 if x > 2 Determine the two-sided limit lim fƒ(x). x-2

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Q: g(x) x-0 /(x) Evaluate lim . . . " . . .. . * . . . . . . 4 . . . * * + + * . . . . * . . . . f(x)…

A: Solution : To find, limx→0g(x)f(x) Given,  From graph , f(x) is a straight line passing through…

Q: Given that lim f(x) = 4 X-3 lim g(x) = -5 X-3 lim h(x) = 0, X-3

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Q: [x-al (a>o) Lim x+ 80a - la 2

A: From the given problem: limx→a-x-ax2+80a2-9a

Q: limx--1f(x) Let f(x) = (x² – 1)/C(x| – 1)

A: