Limits at infinity for rational functions Limit of a function

-


horizontal asymptote y = 4


there 3 basic rules evaluating limits @ infinity rational function f(x) = p(x)/q(x): (where p , q polynomials):



if degree of p greater degree of q, limit positive or negative infinity depending on signs of leading coefficients;
if degree of p , q equal, limit leading coefficient of p divided leading coefficient of q;
if degree of p less degree of q, limit 0.

if limit @ infinity exists, represents horizontal asymptote @ y = l. polynomials not have horizontal asymptotes; such asymptotes may occur rational functions.







Comments

Post a Comment

Popular posts from this blog

Variants M829

-
1 variants 1.1 m829 1.2 m829a1 1.3 m829a2 1.4 m829a3 1.5 m829a4 variants m829 the m829 has ballistic nose , 5 tail fins made of aluminum. carried in gun tube four-piece aluminum sabot, separates 4 petals after round leaves gun tube. propulsion system uses obturating case base semi-combustible cartridge wall. has total weight of 41.1 lb (18.6 kg) , utilizes 627 mm (24.7 in) du penetrator 27 mm rod diameter, reach muzzle velocity of 1,670 meters per second (5,500 ft/s) using of 8.1 kg (18 lb) of ja-2 propellant. maximum effective range 3,000 m (3,300 yd). according jane s, m829 capable of penetrating 540 mm (21 in) of rha steel armor @ 2,000 m (2,200 yd) range. original m829 no longer in production , has been succeeded m829a1, m829a2, , m829a3. corresponding training round m865 costing $1,121. m829a1 the m829a1 (nicknamed silver bullet operation desert storm tank crews) proved in 1991 against iraqi t-55 , t-72 tanks...
Read more

11th century parish church of St Leonard Hythe, Kent

-
st. leonard s church shelf containing skulls in ambulatory below chancel, commonly inaccurately described crypt. the large 11th century church hill; tower @ eastern end destroyed earth tremor in 1739 , restored in 1750. chancel, 1220, covers processional ossuary (a bone store, more commonly found on continent) lined 2,000 skulls , 8,000 thigh bones. date medieval period, having been stored after removal, make way new graves. common in england, bones dispersed, , rare collection. several of skulls show marks of trepanning. 1 of 2 surviving ossuaries in england; other in holy trinity church in rothwell, northamptonshire. other curiosities worth looking for. on pillars on south side of nave medieval graffiti depicting ships. vestry door, on north side of nave, unlocked; open see fine norman doorway. has been suggested this, in late medieval times apparently on outer wall of church, once internal wall, earlier norman church stage higher hill. make existing chapel of st edmund (or north tra...
Read more

Expenses controversy Ian Gibson (politician)

-
in may 2009, gibson became embroiled in mps expenses scandal detailed daily telegraph, reported claimed flat in daughter lived rent-free before selling half market value. subsequently, barred standing in next general election disciplinary panel of labour party. believing after panel s decision position untenable , resigned mp (by traditional procedural device of becoming crown steward , bailiff of 3 chiltern hundreds of stoke, desborough , burnham), thereby forcing by-election. resultant by-election won chloe smith, conservative party candidate, majority of 7,348, reversing previous labour majority of 5,459.
Read more