Evaluate the following limits: \[ \lim _{x \rightarrow 0} \frac{e^{3 x}-e^{2 x}}{x} \]
Evaluate the following limits:
\[
\lim _{x \rightarrow 0} \frac{e^{3 x}-e^{2 x}}{x}
\]
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
2022-11-16 | Find the highest common factor of \( 15 x^{2} y, 60 x^{5} y^{2} z^{3}, 25 x^{3} z^{4} \) |
2022-11-16 | In a village Shyam bats for hitting two points \( A \) and \( B \) on a staircase with his goli ... |
2022-11-16 | सभी तत्त्वों की एन्थैल्पी उनकी संदर्भ-अवस्था में होती है-
(A) इकाई
(B) Content not found
(C) \( ... |
2022-11-16 | On a cricket field, the batsman is at the origin of coordinates and a fielder stands in position... |
2022-11-16 | The salt which on heating gives a mixture of two gases is:
(A) \( \mathrm{NaNO}_{3} \)
(B) \( \m... |
2022-11-16 | ऐसीटिक अम्ल से प्रारम्भ करके निम्नलिखित कैसे प्राप्त कीजिएगा? ऐसीटिल क्लोराइड |
2022-11-16 | An \( \mathrm{Rh} \) - individual receives \( \mathrm{Rh}^{+} \)blood. The recipient becomes:
(A... |
2022-11-16 | उड़ न सकने वाला पक्षी, कैसोवरी पाया जाता है :
(A) न्यूजीलैण्ड में
(B) मॉरीशस में
(C) ऑस्ट्रेलिया... |
2022-11-16 | Assertion (A): In a \( \triangle \mathrm{ABC}, \overrightarrow{\mathrm{AB}}+\overrightarrow{\mat... |
2022-11-16 | The top plate of a charged plane capacitor is fixed, whereas the bottom one is kept in equilibri... |
2022-11-16 | Evaluate the following limits: \[ \lim _{x \rightarrow 0} \frac{e^{3 x}-e^{2 x}}{x} \] |
2022-11-16 | The center of a regular polygon of \( n \) sides is located at the point \( z=0 \), and one of i... |
2022-11-16 | The motion of an insect on a table is given as \( x=4 t-2 \sin \) \( t \) and \( y=4-2 \cos t \)... |
2022-11-16 | प्रकाशीय श्वसन क्या है ? |
2022-11-16 | Variation of internal energy with density of one mole of monatomic gas is depicted in figure. Th... |
2022-11-16 | When \( Z \) is doubled in an atom, which of the following statements are consistent with Bohr's... |
2022-11-16 | Number of mole of sulphur in 64 g vapour phase of sulphur. |
2022-11-16 | the difference seen between a polyp and a medusa of Obelia in relation to their different modes ... |
2022-11-16 | When an azeotropic mixture is distilled, its composition remains |
2022-11-16 | Of the two solvents \( \mathrm{H}_{2} \mathrm{O} \) and \( \mathrm{D}_{2} \mathrm{O}, \mathrm{Na... |
2022-11-16 | \( \sqrt{1-x^{6}}+\sqrt{1-y^{6}}=a\left(x^{3}-y^{3}\right) \) and
\( \frac{d y}{d x}=f(x, y) \sq... |