Evaluate the following limit. lim t to infinite ((2e^-t)i-(5t/t+7)j+(tan^-1t)k

Q: -3(4x + 3)+ 4(6x+1) = 43 %3D

A:

Q: Find the limits in Exercise

A: If we have a function what says limx→c+f(x), this means that the value of x approaches c from the…

Q: 1-cos2x/1+sinx=sinx. Prove the identity

A:

Q: lim tan 3x

A: To evaluate the limit using L-hospital rule:  limx→0tan3xe2x-1 Solution: We know that if there is 00…

Q: Evaluate the limit using L'Hospital's rule 1 lim 3xe 3x

A:

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

A:

Q: V2x -1 Using defination of limits, prove that lim Jx- 3 L^ = x4

A:

Q: Use l’Hôpital’s rule to find the limits

A: Given that: The limit is limx→0+ 3x+1x - 1sin x .

Q: find the limit. lim t→0^+ (4cost, 12sint, 3tlnt)

A: Step 1:The given function is:f(t)=(4cost,12sint,3tlnt)To find the limit of the vector function as…

Q: dx (5х+1)°

A:

Q: Q/calculate limit statement lim 1-sinx X→ 1/1/20 X2502-1

A: It is not a limit questions we don't have check a+ and a- limit we have to put directly limit

Q: Calculate the limit

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

Q: Find lim as x appraoches to 0- of (x^2 + 1)/(x^3-x)

A:

Q: nd lim delta -> -4, tan(delta + 4) /5delta+20

A:

Q: Find the limit

A: