Home
Class 12
MATHS
Evaluate: lim(h rarr 0) (e^((x+h)^(2))-e...

Evaluate: `lim_(h rarr 0) (e^((x+h)^(2))-e^(x^(2)))/(h)`

Text Solution

Verified by Experts

The correct Answer is:
`2x*e^(x^(2)`
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    CHHAYA PUBLICATION|Exercise EXERCISE (Long Answer Type Questions)|8 Videos

  • LIMIT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Multiple Correct Answer Tpye)|5 Videos

  • LIMIT

    CHHAYA PUBLICATION|Exercise EXERCISE (Very Short Answer Type Questions)|10 Videos

  • LAWS OF INDICES

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|6 Videos

  • LINEAR DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination(E. Assertion-Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

Evaluate: lim_(h rarr 0)(e^(5h)-1)/(3h)

The value of lim_(h to 0) (e^((x+h)^(2))-e^(x^(2)))/(h) is -

Evaluate : lim_(hrarr0)(e^h h)/h -1

Evaluate: lim_(x rarr 0) (e^(px)-e^(-qx))/(x)

Evaluate: lim_(x rarr 2) (e^(x)-e^(2))/(x-2)

Evaluate: lim_(x rarr 0)(e^(4x)-1)/(x)

Evaluate: lim_(x rarr 0) (e^(sinx)-1)/(x)

Evaluate: lim_(x rarr 0)(e^(13x)-e^(7x))/(x)

Evaluate: lim_(h rarr 0) (e^(2h)-1)/(e^(3h)-1)

Evaluate: lim_(xrarr0)(e^(x^2)-cosx)/x^2