In Exercises 5 and 6, explain why the limits do not exist 5. lim x→0 x 1 6. lim х>1 х — 1

Q: Exercise To Try 3 Determine the limits lim 2-a X→1 (x–1)2

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Q: Show that - lim→∞ Xn = limn→∞(-Xn).

A: The objective of this question is to prove that the limit of a sequence multiplied by a negative…

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

Q: Show that lim(x+¹)=e².

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Q: Use the definition of limit to prove lim = 2x3 = 7. x-5

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Q: Evaluate the dim Y-3 8-9

A: Let  f(x) is a well defined function of x then for constant a and l  , as x approaches to a f(x)…

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A: We want to find given integral.

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Q: 1- Find the limits: Vi-1 lim ix-1

A: Given: limx→1x-1x-1

Q: 1 c) lim x+0 \ex-1 X.

A: the given expression is: limx→01ex-1-1x…

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

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Q: Evaluate the limit 2x + 4 lim I→ 0 3x2 - 7x + 7

A: Given

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Q: Determine limx→−2 6/x-2, if it exists

A: limx→−2 6/x-2 yes limit exist and we can direct apply the limit so put -2 in given function…

Q: to evaluate: lim x-0 J₁(x) U₂(x)]²

A: We have

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

A: Topic :- limits

Q: points) Consider the function f(x) = (a) Write f(x) as a piecewise function. Evaluate lim x→-6+ f(x)…

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Q: x - 5 lim x→5 x² – 25

A: Explanation of the solution is given below...

Q: Find: x3-x2+x-1 a) lim x-1 x+lnx-1

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Q: 3x(x - : lim Tx - 1| X1+

A: Replace the value of the limit and x.

Q: Use e-5 definition and prove that lim (2 5r) -6

A: Here we use basic definition of epsilon and delta .