Let f(x) = 1²-16 +4 1²-16 H-4 x > 0 I≤0 Find lim f(1)

Q: Show that lim(5x+2)=-18 x-> -4

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Q: If 4.x 9 <f(x) < x² - 4x + 7 for x 0, find lim f(x).

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

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Q: If х-+5 lim f(x) = 15, find lim ( 2x – x² /f(x)+ 1 х—5

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Q: Find the following limits: lim (x² – 13) a. X--3 b. lim 8(t-5) (t - 7) t-6 2x+5 lim x-211-x³ c. C.

A: To find the following limits.

Q: 3x3 - 4x lim 5x³ – 2 ,3 X→-0

A: Given limit is as below:

Q: Find the limit

A: We can solve this limit using direct substitution. i.e. putting the value of x =1 in the given…

Q: 3 4x 7 lim x00 7x2+8

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Q: If 2x – 1 < (x) <x² for 0 < x < 3, find lim f(x)

A: The solution of above question is written below.

Q: Let f(x) = x/² for x0. show that lim f(x)=lim f(x)= too X-50+

A: Find the limits with the psoitive and negative values.

Q: V6 - 5x , x > -1 Determine lim x-2 wheref ( x %3D 2x2 - 5x , x < -1

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Q: X-2 (a) lim x2-7x+10

A: as per the company rule we are supposed to answer only the first question and rest can be reposted.

Q: f(x) = √x, a = 1

A: Givenf(x)=x a=1To findlimh→0f(a+h)-f(a)h

Q: 2. Consider the function: + 3 if x 2 %3D 17 if x = 2. %3D Find lim, 2 f(x).

A: Function given is- f(x)=x2+3       if x&lt;2x3-1      if x&gt;217           if x=2  To find…

Q: 5. Find limf(x) x4-3 a) f(x) = 5x4 %3D 6x4 - 3 b) f(x) = 3x3 2x3 - 9 c) f(x) = %3D 3x5

A: We have to find limx→∞fx for a fx=x4-35x4b fx=6x4-33x3c fx=2x3-93x5 Since all above limit has ∞∞…

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: Evaluate V1+ sin x V1+ tan x lim x→0 - x3

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Q: Find Lim as attached. f(x) = x2 − 4x

A: Given: fx=x2-4x   limx→0fx+x-fxx=?