Recall that the Power Law states that for any positive integer n, lim [f(x)]" = ( li Apply the Power Law to the given problem. lim (13y2 - 5)ª = lim (13y2 - 5) 1 2 2

Q: If lim I+- 00 f(x) f(x) also equals -2. 2 with f(x) and g(x) both polynomials then lim g(x) I- 00…

A:

Q: x²-4x+3 1. Compute limx→3 x-3 Oo 01 02 03 ONone of these

A:

Q: Problem 4. Find lim

A: We apply L' Hospital rule here , differentiate both numerator and denominator till it doesn't form…

Q: flx)= X+4 lim alf(x)=

A:

Q: 4) Calculate lim (√t-3, V-2, tan t-4 t-4 (-)). HINT: On the second component, you can factor t - 4…

A: To find:-

Q: 1. Fix 1 2+1 defined for every z different from -1. Take a * -1, and compute f(x) - f(a) HIG f(x) =…

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Q: 7. Let a be a nonzero real number. Evaluate lim o f (x) and lim,→ f(x), where -00 f (x) = a.x° – 3x*…

A: Given problem is :

Q: Given f(x) = x² + Va, then f(4+ h) – f(4) - a) lim h>0 h f(æ) – f(1) x – 1 b) lim Note: write either…

A: This question can be solved using the concept of function and rationalization.

Q: lim [2Ax) – 3g(x)] x → a

A: Given ,   limx→af(x) = 3   ; limx→ag(x) = 3

Q: 4. Find lim (x² – 9)/(x² – 8x + 15)

A: To find the limit of given function.

Q: Expand the function p (z + h) as follows. p (z + h) = V(w+h)²–1 Substitute the function p (z + h) in…

A: They are solving derivative for v=1w2-1

Q: Consider lim,-8 x2 = 64. Find the maximum value of 6 such that, if |x - 8|< 6, then |x² - 64| <…

A: Consider To find the maximum value of  such that, if .