Evaluate where f(x) = 7 x + 8. If the limit does not exist enter DNE. Limit= Number lim h→0 ƒ(1+h) — ƒ(1) h "

Q: d. lim 12x + 3 Vx + 6 e. lim * 3 x + 2

A: We need to evaluate the following limits- (d) limx→212x+33 limx→212x+33=12×2+33…

Q: tan 3x lim x→0 \ e2x – 1 3/2 O 1/2 O 2 O 2/3

A: Solution:GivenTo find the limit oflimx→0 tan 3xe2x-1=?Formula:ddxeax=aeaxddx tan ax=asec2 ax

Q: HOSPitars fule lim X->0+ ex-1 Hx

A: Given that limx→0+1x-1ex-1Solution :limx→0+1x-1ex-1limx→0+ex-1-xxex-1Applying L hospital…

Q: For the function given by q (x)= x² + 2x+1, use the limit definition of the derivative to compute…

A: Definition of the Derivative:        The derivative of f(x)  with respect to x is the function f'(x)…

Q: (i) limx-0,y-0,2–0 81yz (22+7y2+6z2) answer/antwoord = %3D 9æy? 49x2+49y? (ii) limx-0,y-0…

A: Here we will calculate the limit for an individual variables. For a limit of x (Substitute y=0, z=0)…

Q: Let f(x) = x² + 9, x > 0. Find lim f'(x) →25

A: f(x)=x2+9

Q: Calculate the following limit:

A:

Q: Express the limit as a derivative.

A: To express: limit limx→-1x3+1x+1 as a derivative. Concept used: Definition of derivative:…

Q: Estimate the value of limx→2 x 2 + x − 6 x 3 − 8 to 3 decimal places by making a table with the…

A:

Q: Use the graph of the given function f(x) below to find the following. If something does not have a…

A: Solution:

Q: Give an example of a function that is not continuous at x = 2 but limx→2 f(x) = 1

A: choose any equation of line such that f(2)=1 but the function function f(x) should be discontinued…

Q: Calculate the first first derivative justifies whether this is differentiable or not. Calculate the…

A: ∴ f(x) = 2x2ex is differentiable

Q: Find the limit when x-> 0 lim(√x+11-√11)/x

A:

Q: 3, V1+3x –1 lim - x→0

A:

Q: limit of a function f(x) as x approaches c is always equal to f(x). True or false

A:

Q: Draw a graph of a function that satisfies the following p 1) f(x) 0 for x>0 3) f(0) = 0 %3D 4) f is…

A: Given description of function 1) f(x)<0 for x<0 2) f(x)>0 for x>0 3) f(0)=0 4) f is…

Q: Use the limit definition to find the derivative of f (x), this means no short cut rules, f(x) = x? –…

A:

Q: Graph the function f(x) = xe2. Find: a. r and y intercepts b. lim re2r x 00 c. Use values (like x =…

A: When f'<0 then function decreasing When f'>0 then function increasing

Q: If 3x − 1 ≤ f(x) ≤ x2 − 3x + 8 for x ≥ 0, find lim x→3 f(x).

A: Here we use sandwich theorem Also known as squeeze theoremThis theorem states that , if gx≤fx≤hx in…

Q: For the piecewise linear function, find the following. (If an answer does not exist, enter DNE.)…

A: NOTE: Refresh your page if you can't see any equations. . the given piece-wise function is