Q2 (a) By referring to Figure Q2(a), find (i) lim f(x) x→+0 (ii) lim f(x) x→-0

Q: 3. Find lim (x² + 3x – 18)/(x – 3)-

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Q: b. Find lim (xv (xVx²+1-x²)

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Q: 6. Consider the function f Cx)=5(o+5)-25 if X#し if xfO D.IS fCx) continuous at X-0? EXPlain

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Q: 2x+12 |x+6| If f(x)=- , determine whether lim f(x) exists. 44-6

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Q: (b) lim x→91 0. Vx+9-3 x

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Q: f(2 + h) – f(2) Find lim if f(x) = x + 7. h h→0 f(2 + h) – f(2) lim | (Simplify your answer.) h h→0

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

Q: ; Be h(x) = - 2x + 1, x + 3 calculate lim h(x) 7,x = 3 x-3

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Q: Stlon If f(x) = 6x³ 7x – 3, what is lim f(x)? – -

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Q: x2 + 8x + 15 if x 2. Find lim f(x). x-2+

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Q: Find the following: x+/3 + 9x+/5 i. Lim- x-0 6x1/2 – 4x1/4

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: SX IF X <1 Let F(X) = (^(X-2) IF XZ1 a, Find Limx→1¹ and lim x⇒ F(x) b. does LIM X→1 f(x) exist? C,…

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Q: V5x+4-3 3) lim X-1 x-1

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Q: Find lim f(x), where lim x→4 f(x)-5 X-4 X-2 = 13

A: We need to apply the limits to find the expected value

Q: d) (x+27) -3 X lim-

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Q: if f(2) = 4 f(2) = 1 Then Xf(2)-2г (х). X- 2 lim x-2

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Q: b. Find lim (xvx²+1-x²)

A: Here, we take common x.then multiply denominator and numerator by √(x^2+1)+x

Q: Find lim h→0 lim h0 f(3+h)-f(3) h f(3+h)-f(3) h - if f(x)=x² +8. (Simplify your answer.)

A: To find the limit limh→0f(3+h)−f(3)h for the given function f(x)=x2+8, let's substitute the function…

Q: Find lim (V + 1 - Vĩ).

A: To find the limit

Q: Find lim h-0 f(5+h)-f(5) h if f(x) = -2x-1.

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Q: Let f(x)=2x+5. Find lim h-0 (f(a+h)-f(a)/h)

A: Topic :- limits

Q: 2x So" et (c) lim (d) lim (3r +e") 2

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Q: 5. Find lim [2(a+ h)? – 6(a + h) + 5 – (2a – 6a + 5)]/h h>0

A: Given that, limh→02a+h2-6a+h+5-2a2-6a+5h