If lim x→0 f(x) + x + 1 x sin (3x) = -5, then lim x→0 f(x) + x + 1 x² is equal to

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

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Q: lim(1 + 3x)²/x x→0

A: Concept if limx→0f(x) = 1    and limx→∞g(x) = ∞ then the limx→0f(x)g(x)  = elimx→0[f(x) -1][g(x)]…

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

A: The solution of above question is written below.

Q: whatin Lim (19x) tan(3x メ→0 2.

A: The limit is limx→0+9x tan3x+π2. Factor out the constant term.  limx→ 0+9xtan3x+π2=9·limx→…

Q: If  lim x→1  (f(x) − 8)/(x-1)=2     , evaluate  lim x→1 f(x).

A: Given: limx→1f(x)-8x-1=2

Q: If a function where limx→1+f(x)=3 and limx→1−f(x)=3, thenf(1)=3   true or false, if false make a…

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Q: If limx→0(2f(x)−15)=45limx→0(2f(x)−15)=45, then what must limx→0f(x)limx→0f(x) equal?

A: Given limx→02fx-15=45 Find limx→0fx

Q: If lim x-4 x-2 f(x)-5 - =1, find lim f(x) X-4

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Q: Find lim x→-3 sin(−4 π x)   lim x→-3 sin(−4 π x)

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Q: lim = e7x- e6x/ex-1 x>0

A:

Q: find lim x-> 0, cos (12x)-1 / 3x

A: Given,              limx→0cos 12x - 13x Move the term 1/3 outside of the limit because it is…

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

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Q: Suppose f is a function that satisfies the equation f(x + y) = f(x) + f(y) + x2y + xy2 for all real…

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Q: If 3x − 3 ≤ f(x) ≤ x2 − 3x + 6 for x ≥ 0, find  lim x→3 f(x).

A: Consider the following limit condition: g(x)≤f(x)≤h(x)and iflimg(x)=Lx→alimh(x)=Lx→aThen…

Q: 1f. lim (tanx)x x-&gt;0+

A: Given,