Find the following limits for the piecewise function: f(x) = { x + 1, +5, a) lim f(x) - x-3 b) lim f(x) - x-2 c) lim f(x) x≤2 2

Q: The graph below is the function f(x) -5 -4-5 -2 -1 O 4 3 2 Determine the following values. Enter…

A: The graph of the function  isAccording to the graph of the function, the value of the limit  is

Q: Use a graph to explain the meaning

A: Given: limx→af(x)=∞For instance:Let us consider the function to be f(x)=1x2then  limx→0f(x)=∞

Q: Calculate the following limits, if exist. 5x 4x3 lim x00 4x1– 6x- .2 -2.x x² - 4 lim X2 2r2 -1 1x +…

A: apply the limit after solving

Q: 1 ii. lim f(x) 24-3+ (a) State the value of each quantity, if it exists. If it does not exist,…

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Q: (2) Use the definition of limit of a function to find lim x3+5x 2-22 - - 2 3x+2

A: Hence,By using the L'Hospital rule concept, we conclude that a given function limit does not…

Q: Consider the function defined as follows: f(x) = 7x² - 9. f(x+h)-f(x) h Find the limit of O 14x 2x+h…

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Q: Use the graph of the function f shown below to respond to each prompt. The first prompt is worth 3…

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Q: Use a graph to explain the meaning of

A: Given that, limx→a+fx=-∞

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A: Given graph is

Q: Determine the right- and left-sided limits of the following function: lim x-3- (x + 1) lim x-3+x - 3

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Q: t2-3t+5 lim -1+ 0 t

A: Given:        limt→0et−1t+t2−3t+5t2−1

Q: Let f(x) = 2x2 +1. Evaluate f(4 + h) - f(4) lim h-0 h

A: Given, The function f(x)=2x2+1.

Q: 2 lim_x(x²) +0+x

A:

Q: 3. If f (x) = (x² – 1, if x 3 3.a) lim f(x) X-3 3.b) lim f (x) 3.c) lim f (x) X-1

A: The given function is f(x)=x2-1,if x<3x+5,if x≥3

Q: Use the graph to find the following limits and function value. a. lim f(x) x-3" b. lim f(x) x-3* c.…

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Q: For the function f whose graph is given, determine the following limits. a. lim f(x) x-4 d. lim f(x)…

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