Use the given graph of the function f(x) to estimate the limit lim f(x) I→-7 (Use infinity, negative infinity, or DNE if appropriate)

Q: Given_lim_f(x) = 1 and lim_g(x) = 3, evaluate: x →6 9+x lim ( − 3f(x) + 4g(x)) = x →6

A:

Q: Sketch a rough graph of x^4 and use it to find the limit at both inf and -inf. Expl how you know.

A: y=x4 We pick a few points for x and then find y for them  x -2 -1 0 1 2 y 16 1 0 1 16 Then…

Q: Use the limit definition of the derivative of the given function at the given value of x (if it…

A: Given functions are

Q: find the limit lim l-cos(t, ス→ dx

A: Given: limx→01-cos xx2 To Find: Value of given limit

Q: xx+24=5x² fpyonbouy of anyos

A: We have xx+24≤5x2 Consider:…

Q: Find the one-sided limit (if it exists). lim *-(1/2) + 13x² tan x

A:

Q: Jse the graph of h (x) below to evaluate lim_h (x), if possible. x→2 4

A:

Q: Calculate the limit

A: limx→∞ arctanx2+99-xApplying Chain rule: =-π2limx→∞ arctanx2+99-x=-π2  Decimal:   -1.57079…

Q: form a piecewise function by using exponential, quadratic and linear unction. Domain for the…

A: We need to find a piecewise continuous function using exponential, quadratic, and linear functions…

Q: Find the limit

A:

Q: Use the limit process to find f'(x) = limh -->0 f(x+h) - f(x)/ h for f(x) = 3/4x-7

A: Use derivative formula :-   f'(x) =  dydx = limh→0f(x+h)-f(x)h

Q: A snack company is preparing two mixtures of snacks from a supply of 110 pounds pretzels, 30 pounds…

A: Given that, A snack company is preparing two mixtures of snacks from a supply of 110 pound pretzels,…

Q: Evaluate the limits:  limx->pi/2(cos x/(pi/2-x))

A: We have to evaluate the limit: limx→π2cosxπ2-x We know that sinπ2-x=cosxlimx→0sinxx=1

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.