f (x+h)– f (x) Evaluate lim for A(x) = dw nislqx %3D | h0 h

Q: V1+x – VT– x lim ||

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

A:

Q: d. lim x_1 x-1

A: Since there are multiple questions so according to guidelines we can solve only first one.

Q: lim xV* = 1 x-0

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

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Q: If 2x – 2 < f(x) < x² – 2x + 2 for x 2 0, find lim f(x). X-2

A: The objective is to find the limit.

Q: f(x) = √x, a = 1

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

Q: Evaluate lim h→0 Answer: f(4+h)-f(4) h where f(x) = 7x + 1.

A: Topic:- application of calculus

Q: Find lim f(x), where lim x→4 f(x)-5 X-4 X-2 = 13

A: We need to apply the limits to find the expected value

Q: If lim H(h) = x and. lim H(h) = y, then find lim H(h3 -h) %3D h-0- h-0+

A: Given limit expressions are limh→0+Hh=x,limh→0-Hh=y.