How many times must l'hôpital's rule be applied to evaluate ex - e-X – 2x lim X + 0 X- sinx

Q: Find lim(x→−2)(x^2 − 4)/(x^2 − x − 6)

A: We first factor the numerator and the denominator

Q: limx--->0+(1/x8-1/x4). Use l'Hôpital's Rule if appropriate.

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Q: x³ - 3x2 +4 x→22x-9x²+12x-4 Use L'Hospital's Rule to evaluate lim

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Q: Use L'Hopital's Rule to evaluate the exact value of lim(x² – 2x+1)*-1.

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Q: sin(51x) lim 16x

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Q: b)lim X118 5x3+x2 3- 15x2

A: Given limit, limx→ -∞ 5x3+x2-23-1.5x2

Q: Use L'Hopital's Rule need help with steps to solve.

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Q: 1 Evaluate lim Gnx x→1+ 'Inx х-1

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Q: lim as x-->0  of (x+1-cosx)/x

A: The given limit of the function:

Q: The average typing speed S (in words per minute) of a typing student after t weeks of lessons is…

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Q: What are limx→+-∞ k (k a constant) and limx→+-∞ (1/x)? How doyou extend these results to other…

A: limx→af(x)=L means f(x) becomes arbitrarily close to L as long as x is sufficiently close to a.  We…

Q: Find lim (sinx-lnx) +0+z

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Q: find the lim as x approaches infinity where

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Q: x - 3 lim I-3 x - 9 x? – 2x – 8 lim x – 4 x³ – 2x? + 1 lim x³ - 1

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Q: If f(x) = 5x² − 5x + 31, evaluate lim_f(9 + h) − f(9) h→0 h If an answer does not exist, enter DNE.

A: given

Q: f (x) =  x^2 +2         x3         1. At what value is this function discontinuous, if any?…

A: Given function, f(x)=x2+2,     x<310     ,      x=3-3+4x,   x>3