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LimitsQuestion and Answers: Page 3

Question Number 212745 Answers: 2 Comments: 0

Question Number 212495 Answers: 0 Comments: 0

Question Number 212444 Answers: 0 Comments: 0

Question Number 212405 Answers: 1 Comments: 0

lim_(x→3) ((e^x −e^3 )/(x−3))=?

$\lim_{x \to 3} \frac{e^{x} - e^{3}}{x - 3} = ?$

Question Number 212204 Answers: 0 Comments: 2

f(x) is continous and lim_(x→∞) f(x)=−∞ prove max(f(x)) exist

$f (x) i s c o n t i n o u s a n d$ $\lim_{x \to \infty} f (x) = - \infty$ $p r o v e m a x (f (x)) e x i s t$

Question Number 212169 Answers: 1 Comments: 0

lim_(λ→0^+ ) ∫_λ ^(2λ) (e^((x−1)^2 ) /x)dx = ?

$\lim_{λ \to 0^{+}} \int_{λ}^{2 λ} \frac{e^{{(x - 1)}^{2}}}{x} d x = ?$

Question Number 212097 Answers: 1 Comments: 0

lim_(x→0) (x^2 +e^x )^(1/x) =?

$\lim_{x \to 0} {(x^{2} + e^{x})}^{\frac{1}{x}} = ?$

Question Number 211759 Answers: 4 Comments: 1

lim_(x→0) ((e^(sin x) −e^x )/(sin x−x))=?

$\lim_{x \to 0} \frac{e^{\sin x} - e^{x}}{\sin x - x} = ?$

Question Number 211745 Answers: 1 Comments: 1

lim_(x→5) (10^2 +5x−20)

$\lim_{x \to 5} (10^{2} + 5 x - 20)$

Question Number 211716 Answers: 1 Comments: 0

lim_(x→∞) (1+(1/(1×2))+(1/(1×2×3))+∙∙∙+(1/(1×2×3×∙∙∙×x)))=?

$\lim_{x \to \infty} (1 + \frac{1}{1 \times 2} + \frac{1}{1 \times 2 \times 3} + \cdot \cdot \cdot + \frac{1}{1 \times 2 \times 3 \times \cdot \cdot \cdot \times x}) = ?$

Question Number 211717 Answers: 1 Comments: 0

lim_(x→0) (((1+x^2 )^(1/3) −1)/(e^x^2 −1))=?

$\underset{x \to 0}{li m} \frac{{(1 + x^{2})}^{\frac{1}{3}} - 1}{e^{x^{2}} - 1} = ?$

Question Number 211295 Answers: 2 Comments: 0

lim_(x→0) ((x−sin (sin (sin (....(sin x)))))_(n times) )/x^3 )

$Missing \left or extra \right$

Question Number 211241 Answers: 1 Comments: 4

lim_(x→0) ((cos x^2 −cos (sin^2 x ))/x^6 ) =?

$\lim_{x \to 0} \frac{\cos x^{2} - \cos (\sin^{2} x)}{x^{6}} = ?$

Question Number 210918 Answers: 1 Comments: 0

Question Number 210769 Answers: 0 Comments: 1

Question Number 210674 Answers: 1 Comments: 0

Question Number 210549 Answers: 1 Comments: 0

let a sequence be difined as a_n = a_(n−1) + ((2cos ((a_(n−1) /2)))/(2sin ((a_(n−1) /2))−1)) , a_(0 ) = 0 find lim_(n→∞) a_(n ) = ?

$let a sequence be difined as$ $a_{n} = a_{n - 1} + \frac{2 \cos (\frac{a_{n - 1}}{2})}{2 \sin (\frac{a_{n - 1}}{2}) - 1}, a_{0} = 0$ $find \lim_{n \to \infty} a_{n} = ?$

Question Number 209999 Answers: 3 Comments: 0

lim_(x→0) ((e^x −1)/( (√(1−cosx)))) =?

$\underset{x \to 0}{l i m} \frac{e^{x} - 1}{\sqrt{1 - c o s x}} = ?$

Question Number 209926 Answers: 1 Comments: 3

lim_(n→∞) (1/(3n+1))+(1/(3n+2))+...+(1/(4n))

$\lim_{n \to \infty} \frac{1}{3 n + 1} + \frac{1}{3 n + 2} + . . . + \frac{1}{4 n}$

Question Number 209810 Answers: 1 Comments: 0

lim_( x→0) (( (1+ x )^(1/x) −e)/x) = ?

$\lim_{x \to 0} \frac{{(1 + x)}^{\frac{1}{x}} - e}{x} = ?$

Question Number 209434 Answers: 0 Comments: 5

Help

$H e l p$

Question Number 209356 Answers: 1 Comments: 0

Evaluate : lim_( n→∞) Π_(k=0) ^(n−1) cos (((2^( k) .π)/(2^( n) −1)) ) = ?

$E v a l u a t e :$ $\lim_{n \to \infty} \underset{k = 0}{\prod^{n - 1}} c o s (\frac{2^{k} . π}{2^{n} - 1}) = ?$

Question Number 209220 Answers: 1 Comments: 0

Question Number 209116 Answers: 1 Comments: 0

Question Number 208816 Answers: 0 Comments: 1

Question Number 208482 Answers: 0 Comments: 0

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