WB JEE 2009 | Limits, Continuity and Differentiability Question 7 | Mathematics

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

$$f(x) = x + |x|$$ is continuous for

x $$\in$$ ($$-$$ $$\infty$$, $$\infty$$)

x $$\in$$ ($$-$$ $$\infty$$, $$\infty$$) $$-$$ {0}

only x > 0

no value of x

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

The value of $$\mathop {\lim }\limits_{x \to 1} {{\sin ({e^{x - 1}} - 1)} \over {\log x}}$$ is

1/e

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

The value of $$\mathop {\lim }\limits_{x \to 0} {{{{\sin }^2}x + \cos x - 1} \over {{x^2}}}$$ is

$${1 \over 2}$$

$$ - {1 \over 2}$$

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

The value of $$\mathop {\lim }\limits_{x \to 0} {\left( {{{1 + 5{x^2}} \over {1 + 3{x^2}}}} \right)^{{1 \over {{x^2}}}}}$$ is

e²

$${1 \over e}$$

$${1 \over {{e^2}}}$$

WB JEE Subjects