Book Store

Download books and chapters from book store.
Currently only available for.
CBSE

Gujarati JEE Mathematics : લક્ષ-સાતત્ય અને વિકલન

Multiple Choice Questions

41.

bold જ ો bold space bold f bold left parenthesis bold x bold right parenthesis bold space bold equals bold space fraction numerator bold 2 to the power of bold x bold minus bold 1 over denominator square root of bold 1 bold plus bold ax end root bold minus bold 1 end fraction bold space bold અન ે bold space bold lim with bold x bold rightwards arrow bold 0 below bold space bold f bold left parenthesis bold x bold right parenthesis bold space bold equals bold space bold log subscript bold e bold space bold 4 bold comma bold space bold ત ો bold space bold a bold space bold equals bold space bold. bold. bold. bold. bold. bold. bold space

1
log_e 2-1
log_e 2 + 1
log_e 2

42.

bold lim with bold x bold rightwards arrow bold 0 below bold space bold x to the power of bold 7 bold space open square brackets bold 1 over bold x to the power of bold 3 close square brackets bold space bold equals bold space bold. bold. bold. bold. bold.

0
1
-1
અસ્તિત્વ નથી.

43. જો $bold f bold left parenthesis bold x bold right parenthesis bold space bold equals bold space open curly brackets table attributes columnalign left end attributes row cell bold vertical line bold x bold vertical line bold comma end cell row cell bold left square bracket bold x bold right square bracket bold comma end cell end table close table row cell bold x bold less-than or slanted equal to bold 2 end cell row cell bold x bold greater than bold 2 end cell end table$ તો ..............

$bold lim with bold x bold rightwards arrow bold 2 bold plus below$ f(x) = f(2)
$bold lim with bold x bold rightwards arrow bold 2 bold plus below$ f(x) = -2
$bold lim with bold x bold rightwards arrow bold 2 bold minus below$ f(x) = -2
$bold lim with bold x bold rightwards arrow bold 2 below$ f(x) નું અસ્તિત્વ નથી

$bold lim with bold x bold rightwards arrow bold 2 bold plus below$ f(x) = f(2)

Tips: -

bold lim with bold x bold rightwards arrow bold 2 bold plus below bold space bold f bold left parenthesis bold x bold right parenthesis bold space bold equals bold space bold space bold 2 bold space bold equals bold space bold f bold left parenthesis bold 2 bold right parenthesis bold space bold f bold left parenthesis bold 2 bold right parenthesis bold space bold equals bold space bold vertical line bold 2 bold vertical line bold space bold equals bold space bold 2 bold space

44.

bold જ ો bold space bold f bold apostrophe bold left parenthesis bold 2 bold right parenthesis bold space bold equals bold space bold 1 bold space bold ત ો bold space bold lim with bold x bold rightwards arrow bold 0 below bold space fraction numerator bold f bold left parenthesis bold 2 bold space bold plus bold space bold h to the power of bold 2 bold right parenthesis bold space bold minus bold space bold f bold left parenthesis bold 2 bold space bold minus bold space bold h to the power of bold 2 bold right parenthesis over denominator bold 2 bold h to the power of bold 2 end fraction bold space bold equals bold space bold. bold. bold. bold. bold. bold. bold. bold. bold space

1
$bold 1 over bold 2$
2
0

45.

શૂન્યેત્તર વિધેય f એ f(x-y) = $fraction numerator bold f bold left parenthesis bold x bold right parenthesis over denominator bold f bold left parenthesis bold y bold right parenthesis end fraction$ પ્રકારનું છે. જો f'(0) = 5 અને f'(5) = 5, to f(5) = ......