85603 SOL TEST

TT**

fTt

Y '

A

■TT-r- 2~ ir

-0T.O4.O'

TEST I (32 p.)

l.(4p.+4p.+4p.+4p.) Find the following limits (do not use

i

a) u

c) lim    i.    4. _sl

⁹ ,r->o" sin5.v    W ^Jr^{vx 5} T

J .AiwJ £ Y |

COWO

2. (4p.+4p.) Classify the following

fłAT\o TEST    _ iM*A-

A n! v*'>o w»r a) >,    > . _K

Hi*- -

senes

H

r\

I 0 AbS

I - oof

(n*0 n __ 1'    /A-) -

rr ?AYr\ -—V* : '    UrV ’

(h*V)V'^ł^    ^V

^b) S(-»ⁿ"'7TT —

n=i    Vn“ -2

//Lrft

flry^ł ■ e^zi

cotvi u

3. (4p.) Show that the following limit does

n=i    “ ** .

-i* -Łii-c    2£-°^,'^,'^iC^

A    ^

***    t’s e.(io biv_

TT5rr

fi)    -Ł-. - O

/    vo2*0

not exist

__ i

6* tfTt * trV*t

lim 4.cos(ju>n) **^,1!    *> ^<^⁵*ⁿ*^ł

■a

X-*-WO

Cos (lT o_w *Tł) - Uw\ cos

iS> ***    WV^B

Cc>vn ooi(franty &.*' tos (iT.^,- £4

x>* ę^rt*'

) - /n

w^eD

4. (4p.) Find the values of a e R.be R continuous

fl*(\ + x)^Ux    for A- < 0

/(.v) =

a--16

a*" - 9a* + 20 1

for 0 < a* < 4

6 arctan(-) for a >4

4-x

5 \ Fo»	• R-{. *3
^ 6*tei	m ę rJ~Cł. ly 1
1K co	VI Cl! IUC c* u ^
, x-o
Aa!	Ol (Ą+x) ~ ^
r-»o~	ł ,# -2t»
	A - lo — —
fjcw' -Y^O^#

Ji_ , _ Ji p^nr Cfli^ ~ S*e ) ⁴⁰ ~ TT

tKe. ;fcM.clCo^ £(*) CS oonHWuS

6j „

Oln, Jz2*pLL .9 a

(jl vnrt ts> * arcnSLn- = 4? archu*/

rfjMr*    ^'^x    1

--

-« * - b-

• ib

D-TT