Graham Beasley
2022-07-17
Answered

How would one compute $\underset{\delta \to 0,k\to \mathrm{\infty}}{lim}(1+\delta {)}^{ak}$, where a is some positive constant?

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asked 2020-12-16

The figure shows the surface created when the cylinder ${y}^{2}+{Z}^{2}=1$ intersects the cylinder ${x}^{2}+{Z}^{2}=1$. Find the area of this surface.

The figure is something like:

asked 2021-10-11

Solve the following limit.

$\underset{x\to \mathrm{\infty}}{lim}\left(\frac{3{x}^{3}-4x+2}{7{x}^{3}+5}\right)$

asked 2021-11-07

Calculating limits The following limits are the derivatives of a composite function g at a point a.

a. Find a possible function g and number a.

b. Use the Chain Rule to find each limit. Verify your answer by using a calculator

$\underset{x\to 0}{lim}\frac{\sqrt{4+\mathrm{sin}x}-2}{x}$

a. Find a possible function g and number a.

b. Use the Chain Rule to find each limit. Verify your answer by using a calculator

asked 2022-08-05

Solve.

$\underset{x\to 1}{lim}\frac{4x-4}{{x}^{5}-{x}^{4}}$

and

$\underset{x\to \mathrm{\infty}}{lim}\frac{4{x}^{5}-4}{{x}^{5}-{x}^{4}}$

$\underset{x\to 1}{lim}\frac{4x-4}{{x}^{5}-{x}^{4}}$

and

$\underset{x\to \mathrm{\infty}}{lim}\frac{4{x}^{5}-4}{{x}^{5}-{x}^{4}}$

asked 2021-02-21

Find the following limit:

$\underset{(x,y)\to (3,3)}{lim}(\frac{x-y}{\sqrt{x}-\sqrt{y}})$

asked 2020-10-28

Find the limits

$\underset{(x,y)\to (3,4)}{lim}\sqrt{{x}^{2}+{y}^{2}-1}$

asked 2021-10-27

Evaluate the following limits.

a)$\underset{x\to {\frac{3}{2}}^{+}}{lim}\frac{18x}{3-2x}$

b)$\underset{x\to {\frac{3}{2}}^{-}}{lim}\frac{18x}{3-2x}$

a)

b)