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Question Number 111774 Answers: 1 Comments: 0

Question Number 111668 Answers: 0 Comments: 6

Question Number 111643 Answers: 1 Comments: 0

((7/3))!(with out calculator)

$(\frac{7}{3})! (w i t h o u t c a l c u l a t o r)$

Question Number 111536 Answers: 2 Comments: 2

Let 2,3,5,6,7,10,11,... be increasing sequence of positive integers that are neither the square nor cube of an integer. Find the 2016th term of this sequence.

$Let 2, 3, 5, 6, 7, 10, 11, . . . be increasing$ $sequence of positive integers that are$ $neither the square nor cube of an$ $integer . Find the 2016 th term of this$ $sequence .$

Question Number 111466 Answers: 1 Comments: 2

Σ_(n=1) ^∞ (n^n /(n!))

$\underset{n = 1}{\sum^{\infty}} \frac{n^{n}}{n!}$

Question Number 111450 Answers: 0 Comments: 1

Question Number 111428 Answers: 0 Comments: 1

Σ_(n=1) ^∞ (n^3 /(n!))

$\underset{n = 1}{\sum^{\infty}} \frac{n^{3}}{n!}$

Question Number 111132 Answers: 1 Comments: 0

prove by mathematical induction ⇒ 7^n −(3n+4)×4^(n−1) divided by 9

$prove by mathematical induction$ $\Rightarrow 7^{n} - (3 n + 4) \times 4^{n - 1} divided by 9$

Question Number 111152 Answers: 0 Comments: 0

Question Number 111080 Answers: 1 Comments: 0

(√(bemath)) (1)Σ_(k=50) ^(100) (1/(k(151−k))) ? (2) without L′Hopital and series find the value of lim_(x→0) ((xcos x−sin x)/(x^2 sin x))

$\sqrt{bemath}$ $(1) \underset{k = 50}{\sum^{100}} \frac{1}{k (151 - k)} ?$ $(2) without L^{'} Hopital and series$ $find the value of \lim_{x \to 0} \frac{xcos x - \sin x}{x^{2} \sin x}$

Question Number 110860 Answers: 1 Comments: 0

Question Number 110742 Answers: 0 Comments: 0

please give me a result of E(tanx)

$p l e a s e g i v e m e a r e s u l t o f E (t a n x)$

Question Number 110385 Answers: 0 Comments: 3

Question Number 110920 Answers: 1 Comments: 1

Question Number 110919 Answers: 1 Comments: 0

lim_(n→∞) (Σ_(r=1) ^n (1/(3^r r!))(Π_(k=1) ^r (2k−1)))

$\lim_{n \to \infty} (\underset{r = 1}{\sum^{n}} \frac{1}{3^{r} r!} (\underset{k = 1}{\prod^{r}} (2 k - 1)))$

Question Number 109922 Answers: 1 Comments: 0

Question Number 109787 Answers: 0 Comments: 0

How to prove that ▽×(▽×E)= ▽▽.E−▽^2 E, where E is the eletric field?

$H o w t o p r o v e t h a t ▽ \times (▽ \times E) = ▽ ▽ . E - ▽^{2} E, w h e r e E i s t h e e l e t r i c f i e l d ?$

Question Number 109776 Answers: 0 Comments: 0

Question Number 109655 Answers: 0 Comments: 0

Question Number 109619 Answers: 0 Comments: 2

Σ_(n=1) ^∞ ((n!)/n^n )

$\underset{n = 1}{\sum^{\infty}} \frac{n!}{n^{n}}$

Question Number 109208 Answers: 1 Comments: 0

∫_0 ^∞ ((x^n −1)/(x−1)).(x/e^x )dx

$\int_{0}^{\infty} \frac{x^{n} - 1}{x - 1} . \frac{x}{e^{x}} d x$

Question Number 109123 Answers: 0 Comments: 0

prove that : ∫_(π/4) ^((3π)/4) sin(x)−cos(x)dx ≥∫_π ^((3π)/2) sin(x)+cos(x)dx

$p r o v e t h a t :$ $\int_{\frac{π}{4}}^{\frac{3 π}{4}} s i n (x) - c o s (x) d x ⩾ \int_{π}^{\frac{3 π}{2}} s i n (x) + c o s (x) d x$

Question Number 109119 Answers: 2 Comments: 0

if f(x^2 )=y ,f′(x)=(√(5x−1 )) then (dy/dx)=.....

$i f f (x^{2}) = y, f^{'} (x) = \sqrt{5 x - 1} t h e n$ $\frac{d y}{d x} = . . . . .$

Question Number 109117 Answers: 1 Comments: 0

Question Number 109082 Answers: 1 Comments: 0

prove that : ∫_(−(π/2)) ^(−(π/4)) 2cos(x)+sin(x)dx≤∫_(−(π/2)) ^(−(π/4)) cos(x)−sin(x)dx

$p r o v e t h a t :$ $\int_{- \frac{π}{2}}^{- \frac{π}{4}} 2 c o s (x) + s i n (x) d x ⩽ \int_{- \frac{π}{2}}^{- \frac{π}{4}} c o s (x) - s i n (x) d x$

Question Number 108951 Answers: 0 Comments: 0

Σ_(n=1) ^∞ ((n!)/n^n )

$\underset{n = 1}{\sum^{\infty}} \frac{n!}{n^{n}}$

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