Evaluate the limit. HINT: Use L'Hospital's Rule e* – 1 i] lim x→0 tan x ii] lim (x -x')e*

Q: sin(3x) Evaluate the limit : lim Show x→0 2x + x3 your work.

A:

Q: Explain the meaning of lim r(x) = L. x→a* As approaches from the values of approach ....

A: Given value of limit is,

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 l’Hôpital’s rule to find the limits

A: We have to find the limits of the function by L'Hospital's rule: limt→∞et+t2et-t If we limits are in…

Q: Evaluate the lim h->0 (f'(5+h)-f'(5))/h

A: Given limit is : limh→0f'5+h-f5h To find the value of the limit.

Q: Given the graph of y = f(x), 1 -1 True False y -2 then x2 y = f(x) lim_ƒ (x) = 1 2 3 X

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Q: 1 lim x0 X 2 csc² x

A: Limx-0) - csc2x

Q: If f and g are continuous functions with f(-1) = 3 and the following limit, find g(-1) _lim [2f (x)…

A:

Q: 3 - – If lim f(x) = 3.5 and lim,-2+ f(x) = 6. 5 , the function has a double sided %3D x→2- limit or…

A: Given,          limx→2-fx=3.5 and limx→2+fx=6.5We know that,           Condition of double sided…

Q: Find the limit or determine that the limit does not exist limx→2 (sin(pi/2 times x)/cos(pi times…

A: We have to determine whether the limit exists or not for the following expression…

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.