Book Store

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

Gujarati JEE Mathematics : લક્ષ-સાતત્ય અને વિકલન

Multiple Choice Questions

101.

ધારો કે, $bold f bold left parenthesis bold x bold right parenthesis bold space bold equals bold space open curly brackets table attributes columnalign left columnspacing 1.4ex end attributes row cell bold xnsin bold x over bold 1 end cell cell bold x bold space bold # bold space bold 0 end cell row bold 0 cell bold x bold space bold equals bold 0 end cell end table close$ જો f(x) એ x = 0 આગળ સતત હોય, પરંતુ વિકલનીય ન હોય તો

n = 0
n∈(0,1]
n∈[1, ∞)
n∈(-∞, 0)

102.

bold જ ો bold space bold f bold left parenthesis bold x bold right parenthesis bold space bold equals bold space bold 1 bold space bold minus bold space bold cos bold space bold x bold space bold હ ો ય bold space bold ત ો bold space bold lim with bold x bold rightwards arrow bold infinity below bold space open curly brackets bold e to the power of square root of bold f open parentheses bold 1 over bold x close parentheses square root of bold f open parentheses bold 1 over bold x close parentheses end root square root of bold f open parentheses bold 1 over bold x close parentheses end root bold. bold. bold. end root end exponent close curly brackets to the power of blank to the power of fraction numerator bold 1 over denominator bold cos to the power of bold minus bold 1 end exponent open curly brackets bold 1 bold minus bold f open parentheses bold 1 over bold x to the power of bold 2 close parentheses close curly brackets end fraction end exponent end exponent bold equals bold space bold. bold. bold. bold.

$square root of bold e$
$square root of square root of bold e end root$
e
1

103.

Error converting from MathML to accessible text.

0
1
$fraction numerator square root of bold 3 over denominator bold 5 end fraction bold space$
$bold 3 over bold 5$

104.

bold જ ો bold space bold y bold space bold equals bold space bold sin bold space bold x bold times bold space bold sin bold space bold 2 bold x bold space bold times bold space bold sin bold space bold 3 bold x bold space bold. bold. bold. bold. bold space bold comma bold space bold sin bold space bold nx bold comma bold space bold ત ો bold space bold dy over bold dx bold space bold equals bold space bold. bold. bold. bold. bold. bold. bold. bold space

$bold sum from bold k bold equals bold 1 to bold n of bold space bold k bold space bold cot bold space bold kx$
$bold sum from bold k bold equals bold 1 to bold n of bold space bold k bold space bold tan bold space bold kx$
$bold y bold space bold sum from bold k bold equals bold 1 to bold n of bold space bold k bold space bold cot bold space bold kx bold space bold right square bracket$
$bold y bold space bold sum from bold k bold equals bold 1 to bold n of bold space bold k bold space bold tan bold space bold kx bold space$

105.

જો xy = e - e^y તો $open parentheses fraction numerator bold d to the power of bold 2 bold y over denominator bold dx to the power of bold 2 end fraction close parentheses subscript bold x bold equals bold 0 end subscript bold space bold equals bold space bold. bold. bold. bold. bold. bold. bold. bold.$