Question 14 What value of will the lim f(x) exist if f(x) = x+1,xs a (A) a-I and a-2 B) None of the given choices a= -1 and a = -2 D a--I and a-2 (E) a-l and a--2

Q: Question-10 x² +5x + 6 x² - 4 If f(x) = then answer the following: a) lim f(x) x-2 b) State whether…

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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: * +3 ,x1 „x>1 g(x) exists? Justify. 1+1 f(x) a) Does lim f(x) + g(x) exists? Justify. b) Does lim

A: Solve the given function

Q: Question 3 Evaluate lim,-1+ f(x) if f(x) = = x +4 -x+1 x -1

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Q: Let f be a function that satisfies |f(x)|<M_for all x# 0. Show that lim(x f(x))=0.

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Q: f(x + Ax) – f(x) Find lim Дх > 0 Ax f(x) 9x2 5x %3D teр 1 Find f(x + Ax) by substituting x + Ax in…

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Q: Example 2. Prove that lim f(r) =1 by use of Definition 3, where f is given by - 21 +2 if a 2 f(x) =…

A: Given the proof of limx→2fx=1, where fx=x2-2x+22if x≠22if x=2 Here equation (c) is, fx-1≤32x-2 Also,…

Q: 74-14a? Let f (x) The 425+2 lim,-0 f (x)= [0].

A: Need to find limit f(x) as given

Q: What is the purpo

A: To determine: Purpose on adding h to the function.

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

Q: 5. Let a, b, and c be real numbers with a <c<b and let f: (a, b) point of discontinuity of f, prove…

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Q: Question 1. Evaluate 3-Vx+5 (a) lim X4 x-4 tan 7x (b) lim X0 7

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Q: 72-1402 40+2 o f (x)= [0]. Let f (x) = The lim, ∞

A: We will take x^5 common from numerator and denominator.

Q: Prove positive function so that lim + (x)=16, then lim√(x)=4 directly from definition that it f is a…

A: Given that Let  f is a positive function so that  limx→-4f(x)=16  .

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: Let h=f∘g where f:R2→R and g:R2→R2 is defined by g(x,y)=(−3x2y,3x+3y). Find the derivative h′(1,2)…

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Q: x2+2x – 3 if x 22 The value of lim f(x) if f (x) =- 6-x X-2 if x<2

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Q: 2x+1 Consider the function f(x) Determine lim f(x).

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Q: (х-1) Evaluate lim,→1 (x²–1) O None 1 4 1 1/2 /3

A: Here we have to find the  limitx--&gt;1[(x-1)/(x2-1)]

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Q: You are given two functions, f and g if - 21-

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Q: lim h0 S(x + h) – f(x) + lim h0 g(x + h) – g(x) (S(x + h) + g(x + h)) – (f(x) + g(x)) , %3D lim ? h0

A: We have to check that whether,  limh→0fx+h-fxh+limh→0gx+h-gxh=limh→0fx+h+gx+h-fx+gxh is always true?

Q: If f: Z → R is a function, then the expression lim f(x) is undefined. x-2 True False

A: If f:ℤ→ℝ, is a function then  limx→2f(x) is undefined. To Check: Whether the given statement is true…

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Q: 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)…

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Q: Solve triangle with a = 5, b = 7, C = 42°. Round lengths to the nearest tenth and angle measures to…

A: SOLUTION:- It is given that a=5, b=7, C=42∘ we have to find  c=? ∠A=?∠B=?

Q: Provide complete and clear solution for each question. Work Problem 2 ( +2 x²-x6 x²-100 x+10 B. Find…

A: 8

Q: Question number 6 please

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